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Atlas › Integer Profiles › Node 17,511,440

17,511,440

24 × 5 × 71 × 3083
Abundant Even Composite

17,511,440 factors as 2^4 × 5 × 71 × 3083. Its 40 positive divisors give a proper-divisor sum of 23,789,488, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 71 × 3083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 41,300,928
Proper Divisor Sum 23,789,488
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #17511433 ← → #17511443

Radix Representation

Decimal 17511440
Binary 1000010110011010000010000 (25 bits)
Octal 0o102632020
Hexadecimal 0x10B3410

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1,136 1,420 2,840 3,083 5,680 6,166 12,332 15,415 24,664 30,830 49,328 61,660 123,320 218,893 246,640 437,786 875,572 1,094,465 1,751,144 2,188,930 3,502,288 4,377,860 8,755,720 17,511,440

Collatz Trajectory (63 steps to reach 1)

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

17,511,440 8,755,720 4,377,860 2,188,930 1,094,465 3,283,396 1,641,698 820,849 2,462,548 1,231,274 615,637 1,846,912 923,456 461,728 230,864 115,432 57,716 28,858 14,429 43,288 21,644 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 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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