17,527,245

3 × 5 × 31 × 37693

17,527,245 factors as 3 × 5 × 31 × 37693. Its 16 positive divisors give a proper-divisor sum of 11,421,747, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 37693

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 28,948,992

Proper Divisor Sum 11,421,747

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #17527241 ← → #17527249

Radix Representation

Decimal	17527245
Binary	1000010110111000111001101 (25 bits)
Octal	0o102670715
Hexadecimal	0x10B71CD

Divisor Catalog (16)

1 3 5 15 31 93 155 465 37,693 113,079 188,465 565,395 1,168,483 3,505,449 5,842,415 17,527,245

Collatz Trajectory (169 steps to reach 1)

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

17,527,245 52,581,736 26,290,868 13,145,434 6,572,717 19,718,152 9,859,076 4,929,538 2,464,769 7,394,308 3,697,154 1,848,577 5,545,732 2,772,866 1,386,433 4,159,300 2,079,650 1,039,825 3,119,476 1,559,738 779,869 2,339,608 1,169,804 584,902 292,451 877,354 438,677 1,316,032 658,016 329,008 164,504 82,252 41,126 20,563 61,690 30,845 92,536 46,268 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184

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