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Atlas › Integer Profiles › Node 36,926,656

36,926,656

26 × 13 × 44383
Abundant Even Composite

36,926,656 factors as 2^6 × 13 × 44383. Its 28 positive divisors give a proper-divisor sum of 41,988,096, so this integer is abundant. The Collatz stopping time is 395 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 44383
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 78,914,752
Proper Divisor Sum 41,988,096
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36926653 ← → #36926683

Radix Representation

Decimal 36926656
Binary 10001100110111010011000000 (26 bits)
Octal 0o214672300
Hexadecimal 0x23374C0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 44,383 88,766 177,532 355,064 576,979 710,128 1,153,958 1,420,256 2,307,916 2,840,512 4,615,832 9,231,664 18,463,328 36,926,656

Collatz Trajectory (395 steps to reach 1)

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

36,926,656 18,463,328 9,231,664 4,615,832 2,307,916 1,153,958 576,979 1,730,938 865,469 2,596,408 1,298,204 649,102 324,551 973,654 486,827 1,460,482 730,241 2,190,724 1,095,362 547,681 1,643,044 821,522 410,761 1,232,284 616,142 308,071 924,214 462,107 1,386,322 693,161 2,079,484 1,039,742 519,871 1,559,614 779,807 2,339,422 1,169,711 3,509,134 1,754,567 5,263,702 2,631,851 7,895,554 3,947,777 11,843,332 5,921,666 2,960,833 8,882,500 4,441,250 2,220,625 6,661,876 3,330,938 1,665,469 4,996,408 2,498,204 1,249,102 624,551 1,873,654 936,827 2,810,482 1,405,241

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