λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,635,916

40,635,916

22 × 17 × 31 × 37 × 521
Deficient Even Composite

40,635,916 factors as 2^2 × 17 × 31 × 37 × 521. Its 48 positive divisors give a proper-divisor sum of 39,342,836, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 31 × 37 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 79,978,752
Proper Divisor Sum 39,342,836
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40635911 ← → #40635923

Radix Representation

Decimal 40635916
Binary 10011011000000111000001100 (26 bits)
Octal 0o233007014
Hexadecimal 0x26C0E0C

Divisor Catalog (48)

1 2 4 17 31 34 37 62 68 74 124 148 521 527 629 1,042 1,054 1,147 1,258 2,084 2,108 2,294 2,516 4,588 8,857 16,151 17,714 19,277 19,499 32,302 35,428 38,554 38,998 64,604 77,108 77,996 274,567 327,709 549,134 597,587 655,418 1,098,268 1,195,174 1,310,836 2,390,348 10,158,979 20,317,958 40,635,916

Collatz Trajectory (160 steps to reach 1)

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

40,635,916 20,317,958 10,158,979 30,476,938 15,238,469 45,715,408 22,857,704 11,428,852 5,714,426 2,857,213 8,571,640 4,285,820 2,142,910 1,071,455 3,214,366 1,607,183 4,821,550 2,410,775 7,232,326 3,616,163 10,848,490 5,424,245 16,272,736 8,136,368 4,068,184 2,034,092 1,017,046 508,523 1,525,570 762,785 2,288,356 1,144,178 572,089 1,716,268 858,134 429,067 1,287,202 643,601 1,930,804 965,402 482,701 1,448,104 724,052 362,026 181,013 543,040 271,520 135,760 67,880 33,940 16,970 8,485 25,456 12,728 6,364 3,182 1,591 4,774 2,387 7,162

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #40,635,915 Browse Full Index Next Integer #40,635,917 →