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Atlas › Integer Profiles › Node 36,929,605

36,929,605

5 × 23 × 53 × 73 × 83
Deficient Odd Composite

36,929,605 factors as 5 × 23 × 53 × 73 × 83. Its 32 positive divisors give a proper-divisor sum of 11,406,011, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 5 × 23 × 53 × 73 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 48,335,616
Proper Divisor Sum 11,406,011
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #36929603 ← → #36929609

Radix Representation

Decimal 36929605
Binary 10001100111000000001000101 (26 bits)
Octal 0o214700105
Hexadecimal 0x2338045

Divisor Catalog (32)

1 5 23 53 73 83 115 265 365 415 1,219 1,679 1,909 3,869 4,399 6,059 6,095 8,395 9,545 19,345 21,995 30,295 88,987 101,177 139,357 321,127 444,935 505,885 696,785 1,605,635 7,385,921 36,929,605

Collatz Trajectory (103 steps to reach 1)

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

36,929,605 110,788,816 55,394,408 27,697,204 13,848,602 6,924,301 20,772,904 10,386,452 5,193,226 2,596,613 7,789,840 3,894,920 1,947,460 973,730 486,865 1,460,596 730,298 365,149 1,095,448 547,724 273,862 136,931 410,794 205,397 616,192 308,096 154,048 77,024 38,512 19,256 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085

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