λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,365,664

37,365,664

25 × 7 × 31 × 5381
Abundant Even Composite

37,365,664 factors as 2^5 × 7 × 31 × 5381. Its 48 positive divisors give a proper-divisor sum of 49,435,232, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 31 × 5381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 86,800,896
Proper Divisor Sum 49,435,232
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #37365649 ← → #37365673

Radix Representation

Decimal 37365664
Binary 10001110100010011110100000 (26 bits)
Octal 0o216423640
Hexadecimal 0x23A27A0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1,736 3,472 5,381 6,944 10,762 21,524 37,667 43,048 75,334 86,096 150,668 166,811 172,192 301,336 333,622 602,672 667,244 1,167,677 1,205,344 1,334,488 2,335,354 2,668,976 4,670,708 5,337,952 9,341,416 18,682,832 37,365,664

Collatz Trajectory (77 steps to reach 1)

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

37,365,664 18,682,832 9,341,416 4,670,708 2,335,354 1,167,677 3,503,032 1,751,516 875,758 437,879 1,313,638 656,819 1,970,458 985,229 2,955,688 1,477,844 738,922 369,461 1,108,384 554,192 277,096 138,548 69,274 34,637 103,912 51,956 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #37,365,663 Browse Full Index Next Integer #37,365,665 →