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Atlas › Integer Profiles › Node 17,039,675

17,039,675

52 × 19 × 29 × 1237
Deficient Odd Composite

17,039,675 factors as 5^2 × 19 × 29 × 1237. Its 24 positive divisors give a proper-divisor sum of 5,987,125, so this integer is deficient. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 5^2 × 19 × 29 × 1237
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,026,800
Proper Divisor Sum 5,987,125
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17039669 ← → #17039707

Radix Representation

Decimal 17039675
Binary 1000001000000000100111011 (25 bits)
Octal 0o101000473
Hexadecimal 0x104013B

Divisor Catalog (24)

1 5 19 25 29 95 145 475 551 725 1,237 2,755 6,185 13,775 23,503 30,925 35,873 117,515 179,365 587,575 681,587 896,825 3,407,935 17,039,675

Collatz Trajectory (275 steps to reach 1)

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

17,039,675 51,119,026 25,559,513 76,678,540 38,339,270 19,169,635 57,508,906 28,754,453 86,263,360 43,131,680 21,565,840 10,782,920 5,391,460 2,695,730 1,347,865 4,043,596 2,021,798 1,010,899 3,032,698 1,516,349 4,549,048 2,274,524 1,137,262 568,631 1,705,894 852,947 2,558,842 1,279,421 3,838,264 1,919,132 959,566 479,783 1,439,350 719,675 2,159,026 1,079,513 3,238,540 1,619,270 809,635 2,428,906 1,214,453 3,643,360 1,821,680 910,840 455,420 227,710 113,855 341,566 170,783 512,350 256,175 768,526 384,263 1,152,790 576,395 1,729,186 864,593 2,593,780 1,296,890 648,445

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