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Atlas › Integer Profiles › Node 17,517,448

17,517,448

23 × 13 × 389 × 433
Abundant Even Composite

17,517,448 factors as 2^3 × 13 × 389 × 433. Its 32 positive divisors give a proper-divisor sum of 18,027,152, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 389 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,544,600
Proper Divisor Sum 18,027,152
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17517443 ← → #17517457

Radix Representation

Decimal 17517448
Binary 1000010110100101110001000 (25 bits)
Octal 0o102645610
Hexadecimal 0x10B4B88

Divisor Catalog (32)

1 2 4 8 13 26 52 104 389 433 778 866 1,556 1,732 3,112 3,464 5,057 5,629 10,114 11,258 20,228 22,516 40,456 45,032 168,437 336,874 673,748 1,347,496 2,189,681 4,379,362 8,758,724 17,517,448

Collatz Trajectory (63 steps to reach 1)

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

17,517,448 8,758,724 4,379,362 2,189,681 6,569,044 3,284,522 1,642,261 4,926,784 2,463,392 1,231,696 615,848 307,924 153,962 76,981 230,944 115,472 57,736 28,868 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

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