17,529,187

13² × 103723

17,529,187 factors as 13^2 × 103723. Its 6 positive divisors give a proper-divisor sum of 1,452,305, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 13^2 × 103723

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 18,981,492

Proper Divisor Sum 1,452,305

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #17529179 ← → #17529203

Radix Representation

Decimal	17529187
Binary	1000010110111100101100011 (25 bits)
Octal	0o102674543
Hexadecimal	0x10B7963

Divisor Catalog (6)

1 13 169 103,723 1,348,399 17,529,187

Collatz Trajectory (200 steps to reach 1)

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

17,529,187 52,587,562 26,293,781 78,881,344 39,440,672 19,720,336 9,860,168 4,930,084 2,465,042 1,232,521 3,697,564 1,848,782 924,391 2,773,174 1,386,587 4,159,762 2,079,881 6,239,644 3,119,822 1,559,911 4,679,734 2,339,867 7,019,602 3,509,801 10,529,404 5,264,702 2,632,351 7,897,054 3,948,527 11,845,582 5,922,791 17,768,374 8,884,187 26,652,562 13,326,281 39,978,844 19,989,422 9,994,711 29,984,134 14,992,067 44,976,202 22,488,101 67,464,304 33,732,152 16,866,076 8,433,038 4,216,519 12,649,558 6,324,779 18,974,338 9,487,169 28,461,508 14,230,754 7,115,377 21,346,132 10,673,066 5,336,533 16,009,600 8,004,800 4,002,400

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