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Atlas › Integer Profiles › Node 17,513,008

17,513,008

24 × 257 × 4259
Deficient Even Composite

17,513,008 factors as 2^4 × 257 × 4259. Its 20 positive divisors give a proper-divisor sum of 16,558,472, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 257 × 4259
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 34,071,480
Proper Divisor Sum 16,558,472
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17512993 ← → #17513033

Radix Representation

Decimal 17513008
Binary 1000010110011101000110000 (25 bits)
Octal 0o102635060
Hexadecimal 0x10B3A30

Divisor Catalog (20)

1 2 4 8 16 257 514 1,028 2,056 4,112 4,259 8,518 17,036 34,072 68,144 1,094,563 2,189,126 4,378,252 8,756,504 17,513,008

Collatz Trajectory (182 steps to reach 1)

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

17,513,008 8,756,504 4,378,252 2,189,126 1,094,563 3,283,690 1,641,845 4,925,536 2,462,768 1,231,384 615,692 307,846 153,923 461,770 230,885 692,656 346,328 173,164 86,582 43,291 129,874 64,937 194,812 97,406 48,703 146,110 73,055 219,166 109,583 328,750 164,375 493,126 246,563 739,690 369,845 1,109,536 554,768 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515

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