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Atlas › Integer Profiles › Node 17,530,624

17,530,624

28 × 31 × 472
Abundant Even Composite

17,530,624 factors as 2^8 × 31 × 47^2. Its 54 positive divisors give a proper-divisor sum of 19,375,840, so this integer is abundant. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 2^8 × 31 × 47^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 36,906,464
Proper Divisor Sum 19,375,840
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17530613 ← → #17530631

Radix Representation

Decimal 17530624
Binary 1000010110111111100000000 (25 bits)
Octal 0o102677400
Hexadecimal 0x10B7F00

Divisor Catalog (54)

1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 256 376 496 752 992 1,457 1,504 1,984 2,209 2,914 3,008 3,968 4,418 5,828 6,016 7,936 8,836 11,656 12,032 17,672 23,312 35,344 46,624 68,479 70,688 93,248 136,958 141,376 186,496 273,916 282,752 372,992 547,832 565,504 1,095,664 2,191,328 4,382,656 8,765,312 17,530,624

Collatz Trajectory (319 steps to reach 1)

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

17,530,624 8,765,312 4,382,656 2,191,328 1,095,664 547,832 273,916 136,958 68,479 205,438 102,719 308,158 154,079 462,238 231,119 693,358 346,679 1,040,038 520,019 1,560,058 780,029 2,340,088 1,170,044 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947 4,997,842 2,498,921 7,496,764 3,748,382 1,874,191 5,622,574 2,811,287 8,433,862 4,216,931 12,650,794 6,325,397 18,976,192 9,488,096 4,744,048 2,372,024 1,186,012 593,006 296,503 889,510 444,755 1,334,266 667,133

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