17,129,746

2 × 251 × 34123

17,129,746 factors as 2 × 251 × 34123. Its 8 positive divisors give a proper-divisor sum of 8,667,998, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 251 × 34123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 25,797,744

Proper Divisor Sum 8,667,998

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #17129743 ← → #17129747

Radix Representation

Decimal	17129746
Binary	1000001010110000100010010 (25 bits)
Octal	0o101260422
Hexadecimal	0x1056112

Divisor Catalog (8)

1 2 251 502 34,123 68,246 8,564,873 17,129,746

Collatz Trajectory (200 steps to reach 1)

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

17,129,746 8,564,873 25,694,620 12,847,310 6,423,655 19,270,966 9,635,483 28,906,450 14,453,225 43,359,676 21,679,838 10,839,919 32,519,758 16,259,879 48,779,638 24,389,819 73,169,458 36,584,729 109,754,188 54,877,094 27,438,547 82,315,642 41,157,821 123,473,464 61,736,732 30,868,366 15,434,183 46,302,550 23,151,275 69,453,826 34,726,913 104,180,740 52,090,370 26,045,185 78,135,556 39,067,778 19,533,889 58,601,668 29,300,834 14,650,417 43,951,252 21,975,626 10,987,813 32,963,440 16,481,720 8,240,860 4,120,430 2,060,215 6,180,646 3,090,323 9,270,970 4,635,485 13,906,456 6,953,228 3,476,614 1,738,307 5,214,922 2,607,461 7,822,384 3,911,192

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