9,252,913

17² × 101 × 317

9,252,913 factors as 17^2 × 101 × 317. Its 12 positive divisors give a proper-divisor sum of 704,939, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 17^2 × 101 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,957,852

Proper Divisor Sum 704,939

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9252883 ← → #9252917

Radix Representation

Decimal	9252913
Binary	100011010011000000110001 (24 bits)
Octal	0o43230061
Hexadecimal	0x8D3031

Divisor Catalog (12)

1 17 101 289 317 1,717 5,389 29,189 32,017 91,613 544,289 9,252,913

Collatz Trajectory (238 steps to reach 1)

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

9,252,913 27,758,740 13,879,370 6,939,685 20,819,056 10,409,528 5,204,764 2,602,382 1,301,191 3,903,574 1,951,787 5,855,362 2,927,681 8,783,044 4,391,522 2,195,761 6,587,284 3,293,642 1,646,821 4,940,464 2,470,232 1,235,116 617,558 308,779 926,338 463,169 1,389,508 694,754 347,377 1,042,132 521,066 260,533 781,600 390,800 195,400 97,700 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696

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