17,512,404

2² × 3 × 7² × 13 × 29 × 79

17,512,404 factors as 2^2 × 3 × 7^2 × 13 × 29 × 79. Its 144 positive divisors give a proper-divisor sum of 36,113,196, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 13 × 29 × 79

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 53,625,600

Proper Divisor Sum 36,113,196

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #17512403 ← → #17512421

Radix Representation

Decimal	17512404
Binary	1000010110011011111010100 (25 bits)
Octal	0o102633724
Hexadecimal	0x10B37D4

Divisor Catalog (60 of 144)

1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 49 52 58 78 79 84 87 91 98 116 147 156 158 174 182 196 203 237 273 294 316 348 364 377 406 474 546 553 588 609 637 754 812 948 1,027 1,092 1,106 1,131 1,218 1,274 1,421 1,508 1,659 1,911 2,054

Collatz Trajectory (213 steps to reach 1)

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

17,512,404 8,756,202 4,378,101 13,134,304 6,567,152 3,283,576 1,641,788 820,894 410,447 1,231,342 615,671 1,847,014 923,507 2,770,522 1,385,261 4,155,784 2,077,892 1,038,946 519,473 1,558,420 779,210 389,605 1,168,816 584,408 292,204 146,102 73,051 219,154 109,577 328,732 164,366 82,183 246,550 123,275 369,826 184,913 554,740 277,370 138,685 416,056 208,028 104,014 52,007 156,022 78,011 234,034 117,017 351,052 175,526 87,763 263,290 131,645 394,936 197,468 98,734 49,367 148,102 74,051 222,154 111,077

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