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Atlas › Integer Profiles › Node 36,916,938

36,916,938

2 × 33 × 53 × 12899
Abundant Even Composite

36,916,938 factors as 2 × 3^3 × 53 × 12899. Its 32 positive divisors give a proper-divisor sum of 46,675,062, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 53 × 12899
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,592,000
Proper Divisor Sum 46,675,062
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36916931 ← → #36916963

Radix Representation

Decimal 36916938
Binary 10001100110100111011001010 (26 bits)
Octal 0o214647312
Hexadecimal 0x2334ECA

Divisor Catalog (32)

1 2 3 6 9 18 27 53 54 106 159 318 477 954 1,431 2,862 12,899 25,798 38,697 77,394 116,091 232,182 348,273 683,647 696,546 1,367,294 2,050,941 4,101,882 6,152,823 12,305,646 18,458,469 36,916,938

Collatz Trajectory (77 steps to reach 1)

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

36,916,938 18,458,469 55,375,408 27,687,704 13,843,852 6,921,926 3,460,963 10,382,890 5,191,445 15,574,336 7,787,168 3,893,584 1,946,792 973,396 486,698 243,349 730,048 365,024 182,512 91,256 45,628 22,814 11,407 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181

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