17,527,415

5 × 71 × 97 × 509

17,527,415 factors as 5 × 71 × 97 × 509. Its 16 positive divisors give a proper-divisor sum of 4,063,945, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 5 × 71 × 97 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 21,591,360

Proper Divisor Sum 4,063,945

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #17527409 ← → #17527417

Radix Representation

Decimal	17527415
Binary	1000010110111001001110111 (25 bits)
Octal	0o102671167
Hexadecimal	0x10B7277

Divisor Catalog (16)

1 5 71 97 355 485 509 2,545 6,887 34,435 36,139 49,373 180,695 246,865 3,505,483 17,527,415

Collatz Trajectory (200 steps to reach 1)

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

17,527,415 52,582,246 26,291,123 78,873,370 39,436,685 118,310,056 59,155,028 29,577,514 14,788,757 44,366,272 22,183,136 11,091,568 5,545,784 2,772,892 1,386,446 693,223 2,079,670 1,039,835 3,119,506 1,559,753 4,679,260 2,339,630 1,169,815 3,509,446 1,754,723 5,264,170 2,632,085 7,896,256 3,948,128 1,974,064 987,032 493,516 246,758 123,379 370,138 185,069 555,208 277,604 138,802 69,401 208,204 104,102 52,051 156,154 78,077 234,232 117,116 58,558 29,279 87,838 43,919 131,758 65,879 197,638 98,819 296,458 148,229 444,688 222,344 111,172

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