λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,926,864

36,926,864

24 × 13 × 177533
Abundant Even Composite

36,926,864 factors as 2^4 × 13 × 177533. Its 20 positive divisors give a proper-divisor sum of 40,122,892, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 177533
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 77,049,756
Proper Divisor Sum 40,122,892
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #36926807 ← → #36926867

Radix Representation

Decimal 36926864
Binary 10001100110111010110010000 (26 bits)
Octal 0o214672620
Hexadecimal 0x2337590

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 177,533 355,066 710,132 1,420,264 2,307,929 2,840,528 4,615,858 9,231,716 18,463,432 36,926,864

Collatz Trajectory (77 steps to reach 1)

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

36,926,864 18,463,432 9,231,716 4,615,858 2,307,929 6,923,788 3,461,894 1,730,947 5,192,842 2,596,421 7,789,264 3,894,632 1,947,316 973,658 486,829 1,460,488 730,244 365,122 182,561 547,684 273,842 136,921 410,764 205,382 102,691 308,074 154,037 462,112 231,056 115,528 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 #36,926,863 Browse Full Index Next Integer #36,926,865 →