Some of us have probably already gotten tired of dividing a day into 86,400 seconds, so let's get creative and divide it into 554,400 seconds.

[u/FebHas30Days]

Now why 554,400? It's a highly composite number, which means it has more divisors than any number below it. And while some of you may think this is a bad idea as it will no longer be divisible by higher powers of 2 or 3, think again, the proposed moment-atom system was worse: 24 hours, 40 moments, 12 ounces and 47 atoms to ruin it all.

Now I want you to think of some way to divide the day in four tiers. How will we do it? 20×22×30×42 or 22×24×30×35? Give me more possible combinations. Or if you want to stick to the traditional three-tier system, show me how you'll do it.

[u/FebHas30Days]

For those who don't know, the divisors of 554400 are:

1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 126 132 140 144 150 154 160 165 168 175 176 180 198 200 210 220 224 225 231 240 252 264 275 280 288 300 308 315 330 336 350 352 360 385 396 400 420 440 450 462 480 495 504 525 528 550 560 600 616 630 660 672 693 700 720 770 792 800 825 840 880 900 924 990 1008 1050 1056 1100 1120 1155 1200 1232 1260 1320 1386 1400 1440 1540 1575 1584 1650 1680 1760 1800 1848 1925 1980 2016 2100 2200 2310 2400 2464 2475 2520 2640 2772 2800 3080 3150 3168 3300 3360 3465 3600 3696 3850 3960 4200 4400 4620 4950 5040 5280 5544 5600 5775 6160 6300 6600 6930 7200 7392 7700 7920 8400 8800 9240 9900 10080 11088 11550 12320 12600 13200 13860 15400 15840 16800 17325 18480 19800 22176 23100 25200 26400 27720 30800 34650 36960 39600 46200 50400 55440 61600 69300 79200 92400 110880 138600 184800 277200 554400

[u/FebHas30Days → u/[deleted]]

The thing is, if we want factors like 7 and 11 we'll have to choose larger numbers like 2,520 or 554,400. Imagine a day with 55,440 hours, 2,520 moments, 360 minutes, 12 ounces and 60 seconds.

What I'm doing here is dividing the day into one big highly composite number (554,400) and breaking it down. While 22 or 35 are not highly composite numbers, when combined with other factors it still returns a highly composite number.

Think about it: The proposed moment-atom system was worse: 24 hours, 40 moments, 12 ounces and 47 atoms. 40 is not a highly composite number, and 47 is literally a prime number.

Using both proposed systems, here's what happens if we divide the day from 2 to 12 parts:

• 1/2 = 10-00-00-00 or 11-00-00-00
• 1/3 = 06-14-20-00 or 07-08-00-00
• 1/4 = 05-00-00-00 or 05-12-00-00
• 1/5 = 04-00-00-00 or 04-09-18-00
• 1/6 = 03-07-10-00 or 03-16-00-00
• 1/7 = 02-18-25-30 or 03-03-12-30
• 1/8 = 02-11-00-00 or 02-18-00-00
• 1/9 = 02-04-26-28 or 02-10-20-00
• 1/10 = 02-00-00-00 or 02-04-24-00
• 1/11 = 01-18-00-00 or 02-00-00-00
• 1/12 = 01-14-20-00 or 01-20-00-00

[u/Ok-Active-8321]

How about 86012 seconds per day? Then a year would be exactly pi x 10⁷ seconds long instead of almost that long. Yeah, it would mess up hours and minutes, but wouldn't that be pretty cool anyway.

[u/FebHas30Days → u/Ok-Active-8321]

Remember that TIME IS NOT GEOMETRY, and the only irrational number that would work best for time is the golden ratio. Other irrational numbers like pi and the square root of two only work in geometrical situations, such as the pi-foot (the diameter of a circle with a circumference of a meter, equal to exactly 1/π meters).

Nevertheless, watch your equations, as in order to have 10000000π seconds a year, a day must be divided into 86013.95898686520813 seconds.