λ
Ratio Atlas
Atlas › Integer Profiles › Node 936,720

936,720

24 × 32 × 5 × 1301
Abundant Even Composite

936,720 factors as 2^4 × 3^2 × 5 × 1301. Its 60 positive divisors give a proper-divisor sum of 2,211,516, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 1301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 3,148,236
Proper Divisor Sum 2,211,516
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #936713 ← → #936731

Radix Representation

Decimal 936720
Binary 11100100101100010000 (20 bits)
Octal 0o3445420
Hexadecimal 0xE4B10

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1,301 2,602 3,903 5,204 6,505 7,806 10,408 11,709 13,010 15,612 19,515 20,816 23,418 26,020 31,224 39,030 46,836 52,040 58,545 62,448 78,060 93,672 104,080 117,090 156,120 187,344 234,180 312,240 468,360 936,720

Collatz Trajectory (157 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

936,720 468,360 234,180 117,090 58,545 175,636 87,818 43,909 131,728 65,864 32,932 16,466 8,233 24,700 12,350 6,175 18,526 9,263 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #936,719 Browse Full Index Next Integer #936,721 →