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Atlas › Integer Profiles › Node 17,512,430

17,512,430

2 × 5 × 13 × 23 × 5857
Abundant Even Composite

17,512,430 factors as 2 × 5 × 13 × 23 × 5857. Its 32 positive divisors give a proper-divisor sum of 17,916,754, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 23 × 5857
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,429,184
Proper Divisor Sum 17,916,754
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #17512421 ← → #17512457

Radix Representation

Decimal 17512430
Binary 1000010110011011111101110 (25 bits)
Octal 0o102633756
Hexadecimal 0x10B37EE

Divisor Catalog (32)

1 2 5 10 13 23 26 46 65 115 130 230 299 598 1,495 2,990 5,857 11,714 29,285 58,570 76,141 134,711 152,282 269,422 380,705 673,555 761,410 1,347,110 1,751,243 3,502,486 8,756,215 17,512,430

Collatz Trajectory (213 steps to reach 1)

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

17,512,430 8,756,215 26,268,646 13,134,323 39,402,970 19,701,485 59,104,456 29,552,228 14,776,114 7,388,057 22,164,172 11,082,086 5,541,043 16,623,130 8,311,565 24,934,696 12,467,348 6,233,674 3,116,837 9,350,512 4,675,256 2,337,628 1,168,814 584,407 1,753,222 876,611 2,629,834 1,314,917 3,944,752 1,972,376 986,188 493,094 246,547 739,642 369,821 1,109,464 554,732 277,366 138,683 416,050 208,025 624,076 312,038 156,019 468,058 234,029 702,088 351,044 175,522 87,761 263,284 131,642 65,821 197,464 98,732 49,366 24,683 74,050 37,025 111,076

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