36,927,112

2³ × 337 × 13697

36,927,112 factors as 2^3 × 337 × 13697. Its 16 positive divisors give a proper-divisor sum of 32,521,748, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^3 × 337 × 13697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 69,448,860

Proper Divisor Sum 32,521,748

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #36927103 ← → #36927113

Radix Representation

Decimal	36927112
Binary	10001100110111011010001000 (26 bits)
Octal	0o214673210
Hexadecimal	0x2337688

Divisor Catalog (16)

1 2 4 8 337 674 1,348 2,696 13,697 27,394 54,788 109,576 4,615,889 9,231,778 18,463,556 36,927,112

Collatz Trajectory (77 steps to reach 1)

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

36,927,112 18,463,556 9,231,778 4,615,889 13,847,668 6,923,834 3,461,917 10,385,752 5,192,876 2,596,438 1,298,219 3,894,658 1,947,329 5,841,988 2,920,994 1,460,497 4,381,492 2,190,746 1,095,373 3,286,120 1,643,060 821,530 410,765 1,232,296 616,148 308,074 154,037 462,112 231,056 115,528 57,764 28,882 14,441 43,324 21,662 10,831 32,494 16,247 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,927,111 Browse Full Index Next Integer #36,927,113 →