17,497,216

2⁷ × 11 × 17² × 43

17,497,216 factors as 2^7 × 11 × 17^2 × 43. Its 96 positive divisors give a proper-divisor sum of 23,837,264, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 17^2 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 41,334,480

Proper Divisor Sum 23,837,264

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #17497213 ← → #17497231

Radix Representation

Decimal	17497216
Binary	1000010101111110010000000 (25 bits)
Octal	0o102576200
Hexadecimal	0x10AFC80

Divisor Catalog (60 of 96)

1 2 4 8 11 16 17 22 32 34 43 44 64 68 86 88 128 136 172 176 187 272 289 344 352 374 473 544 578 688 704 731 748 946 1,088 1,156 1,376 1,408 1,462 1,496 1,892 2,176 2,312 2,752 2,924 2,992 3,179 3,784 4,624 5,504 5,848 5,984 6,358 7,568 8,041 9,248 11,696 11,968 12,427 12,716

Collatz Trajectory (213 steps to reach 1)

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

17,497,216 8,748,608 4,374,304 2,187,152 1,093,576 546,788 273,394 136,697 410,092 205,046 102,523 307,570 153,785 461,356 230,678 115,339 346,018 173,009 519,028 259,514 129,757 389,272 194,636 97,318 48,659 145,978 72,989 218,968 109,484 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990

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