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Atlas › Integer Profiles › Node 17,516,712

17,516,712

23 × 3 × 47 × 53 × 293
Abundant Even Composite

17,516,712 factors as 2^3 × 3 × 47 × 53 × 293. Its 64 positive divisors give a proper-divisor sum of 28,206,168, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 47 × 53 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 45,722,880
Proper Divisor Sum 28,206,168
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17516711 ← → #17516747

Radix Representation

Decimal 17516712
Binary 1000010110100100010101000 (25 bits)
Octal 0o102644250
Hexadecimal 0x10B48A8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 212 282 293 318 376 424 564 586 636 879 1,128 1,172 1,272 1,758 2,344 2,491 3,516 4,982 7,032 7,473 9,964 13,771 14,946 15,529 19,928 27,542 29,892 31,058 41,313 46,587 55,084 59,784 62,116 82,626 93,174 110,168 124,232 165,252 186,348 330,504 372,696 729,863 1,459,726 2,189,589 2,919,452

Collatz Trajectory (89 steps to reach 1)

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

17,516,712 8,758,356 4,379,178 2,189,589 6,568,768 3,284,384 1,642,192 821,096 410,548 205,274 102,637 307,912 153,956 76,978 38,489 115,468 57,734 28,867 86,602 43,301 129,904 64,952 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86

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