17,511,714

2 × 3⁴ × 11 × 31 × 317

17,511,714 factors as 2 × 3^4 × 11 × 31 × 317. Its 80 positive divisors give a proper-divisor sum of 26,814,942, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 31 × 317

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 44,326,656

Proper Divisor Sum 26,814,942

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17511713 ← → #17511719

Radix Representation

Decimal	17511714
Binary	1000010110011010100100010 (25 bits)
Octal	0o102632442
Hexadecimal	0x10B3522

Divisor Catalog (60 of 80)

1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 317 341 558 594 634 682 837 891 951 1,023 1,674 1,782 1,902 2,046 2,511 2,853 3,069 3,487 5,022 5,706 6,138 6,974 8,559 9,207 9,827 10,461 17,118 18,414 19,654 20,922 25,677 27,621 29,481 31,383 51,354 55,242 58,962 62,766

Collatz Trajectory (213 steps to reach 1)

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

17,511,714 8,755,857 26,267,572 13,133,786 6,566,893 19,700,680 9,850,340 4,925,170 2,462,585 7,387,756 3,693,878 1,846,939 5,540,818 2,770,409 8,311,228 4,155,614 2,077,807 6,233,422 3,116,711 9,350,134 4,675,067 14,025,202 7,012,601 21,037,804 10,518,902 5,259,451 15,778,354 7,889,177 23,667,532 11,833,766 5,916,883 17,750,650 8,875,325 26,625,976 13,312,988 6,656,494 3,328,247 9,984,742 4,992,371 14,977,114 7,488,557 22,465,672 11,232,836 5,616,418 2,808,209 8,424,628 4,212,314 2,106,157 6,318,472 3,159,236 1,579,618 789,809 2,369,428 1,184,714 592,357 1,777,072 888,536 444,268 222,134 111,067

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