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Atlas › Integer Profiles › Node 17,512,680

17,512,680

23 × 3 × 5 × 19 × 7681
Abundant Even Composite

17,512,680 factors as 2^3 × 3 × 5 × 19 × 7681. Its 64 positive divisors give a proper-divisor sum of 37,797,720, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 19 × 7681
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 55,310,400
Proper Divisor Sum 37,797,720
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17512679 ← → #17512681

Radix Representation

Decimal 17512680
Binary 1000010110011100011101000 (25 bits)
Octal 0o102634350
Hexadecimal 0x10B38E8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1,140 2,280 7,681 15,362 23,043 30,724 38,405 46,086 61,448 76,810 92,172 115,215 145,939 153,620 184,344 230,430 291,878 307,240 437,817 460,860 583,756 729,695 875,634 921,720 1,167,512 1,459,390 1,751,268 2,189,085 2,918,780 3,502,536

Collatz Trajectory (200 steps to reach 1)

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

17,512,680 8,756,340 4,378,170 2,189,085 6,567,256 3,283,628 1,641,814 820,907 2,462,722 1,231,361 3,694,084 1,847,042 923,521 2,770,564 1,385,282 692,641 2,077,924 1,038,962 519,481 1,558,444 779,222 389,611 1,168,834 584,417 1,753,252 876,626 438,313 1,314,940 657,470 328,735 986,206 493,103 1,479,310 739,655 2,218,966 1,109,483 3,328,450 1,664,225 4,992,676 2,496,338 1,248,169 3,744,508 1,872,254 936,127 2,808,382 1,404,191 4,212,574 2,106,287 6,318,862 3,159,431 9,478,294 4,739,147 14,217,442 7,108,721 21,326,164 10,663,082 5,331,541 15,994,624 7,997,312 3,998,656

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