λ
Ratio Atlas

17,564,955

3 × 5 × 523 × 2239
Deficient Odd Composite

17,564,955 factors as 3 × 5 × 523 × 2239. Its 16 positive divisors give a proper-divisor sum of 10,605,285, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 3 × 5 × 523 × 2239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 28,170,240
Proper Divisor Sum 10,605,285
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #17564947 ← → #17564959

Radix Representation

Decimal 17564955
Binary 1000011000000010100011011 (25 bits)
Octal 0o103002433
Hexadecimal 0x10C051B

Divisor Catalog (16)

Collatz Trajectory (244 steps to reach 1)

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

17,564,955 52,694,866 26,347,433 79,042,300 39,521,150 19,760,575 59,281,726 29,640,863 88,922,590 44,461,295 133,383,886 66,691,943 200,075,830 100,037,915 300,113,746 150,056,873 450,170,620 225,085,310 112,542,655 337,627,966 168,813,983 506,441,950 253,220,975 759,662,926 379,831,463 1,139,494,390 569,747,195 1,709,241,586 854,620,793 2,563,862,380 1,281,931,190 640,965,595 1,922,896,786 961,448,393 2,884,345,180 1,442,172,590 721,086,295 2,163,258,886 1,081,629,443 3,244,888,330 1,622,444,165 4,867,332,496 2,433,666,248 1,216,833,124 608,416,562 304,208,281 912,624,844 456,312,422 228,156,211 684,468,634 342,234,317 1,026,702,952 513,351,476 256,675,738 128,337,869 385,013,608 192,506,804 96,253,402 48,126,701 144,380,104

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