17,527,172

2² × 13 × 41 × 8221

17,527,172 factors as 2^2 × 13 × 41 × 8221. Its 24 positive divisors give a proper-divisor sum of 16,314,580, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 41 × 8221

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 33,841,752

Proper Divisor Sum 16,314,580

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #17527171 ← → #17527199

Radix Representation

Decimal	17527172
Binary	1000010110111000110000100 (25 bits)
Octal	0o102670604
Hexadecimal	0x10B7184

Divisor Catalog (24)

Collatz Trajectory (89 steps to reach 1)

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

17,527,172 8,763,586 4,381,793 13,145,380 6,572,690 3,286,345 9,859,036 4,929,518 2,464,759 7,394,278 3,697,139 11,091,418 5,545,709 16,637,128 8,318,564 4,159,282 2,079,641 6,238,924 3,119,462 1,559,731 4,679,194 2,339,597 7,018,792 3,509,396 1,754,698 877,349 2,632,048 1,316,024 658,012 329,006 164,503 493,510 246,755 740,266 370,133 1,110,400 555,200 277,600 138,800 69,400 34,700 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86

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