λ
Ratio Atlas

17,564,927

17 × 353 × 2927
Deficient Odd Composite

17,564,927 factors as 17 × 353 × 2927. Its 8 positive divisors give a proper-divisor sum of 1,092,289, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 17 × 353 × 2927
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 18,657,216
Proper Divisor Sum 1,092,289
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #17564917 ← → #17564929

Radix Representation

Decimal 17564927
Binary 1000011000000010011111111 (25 bits)
Octal 0o103002377
Hexadecimal 0x10C04FF

Divisor Catalog (8)

Collatz Trajectory (213 steps to reach 1)

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

17,564,927 52,694,782 26,347,391 79,042,174 39,521,087 118,563,262 59,281,631 177,844,894 88,922,447 266,767,342 133,383,671 400,151,014 200,075,507 600,226,522 300,113,261 900,339,784 450,169,892 225,084,946 112,542,473 337,627,420 168,813,710 84,406,855 253,220,566 126,610,283 379,830,850 189,915,425 569,746,276 284,873,138 142,436,569 427,309,708 213,654,854 106,827,427 320,482,282 160,241,141 480,723,424 240,361,712 120,180,856 60,090,428 30,045,214 15,022,607 45,067,822 22,533,911 67,601,734 33,800,867 101,402,602 50,701,301 152,103,904 76,051,952 38,025,976 19,012,988 9,506,494 4,753,247 14,259,742 7,129,871 21,389,614 10,694,807 32,084,422 16,042,211 48,126,634 24,063,317

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