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Atlas › Integer Profiles › Node 17,257,540

17,257,540

22 × 5 × 37 × 23321
Abundant Even Composite

17,257,540 factors as 2^2 × 5 × 37 × 23321. Its 24 positive divisors give a proper-divisor sum of 19,964,372, so this integer is abundant. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 23321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 37,221,912
Proper Divisor Sum 19,964,372
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17257519 ← → #17257543

Radix Representation

Decimal 17257540
Binary 1000001110101010001000100 (25 bits)
Octal 0o101652104
Hexadecimal 0x1075444

Divisor Catalog (24)

1 2 4 5 10 20 37 74 148 185 370 740 23,321 46,642 93,284 116,605 233,210 466,420 862,877 1,725,754 3,451,508 4,314,385 8,628,770 17,257,540

Collatz Trajectory (275 steps to reach 1)

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

17,257,540 8,628,770 4,314,385 12,943,156 6,471,578 3,235,789 9,707,368 4,853,684 2,426,842 1,213,421 3,640,264 1,820,132 910,066 455,033 1,365,100 682,550 341,275 1,023,826 511,913 1,535,740 767,870 383,935 1,151,806 575,903 1,727,710 863,855 2,591,566 1,295,783 3,887,350 1,943,675 5,831,026 2,915,513 8,746,540 4,373,270 2,186,635 6,559,906 3,279,953 9,839,860 4,919,930 2,459,965 7,379,896 3,689,948 1,844,974 922,487 2,767,462 1,383,731 4,151,194 2,075,597 6,226,792 3,113,396 1,556,698 778,349 2,335,048 1,167,524 583,762 291,881 875,644 437,822 218,911 656,734

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