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Atlas › Integer Profiles › Node 17,560,716

17,560,716

22 × 3 × 283 × 5171
Abundant Even Composite

17,560,716 factors as 2^2 × 3 × 283 × 5171. Its 24 positive divisors give a proper-divisor sum of 23,567,028, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 283 × 5171
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 41,127,744
Proper Divisor Sum 23,567,028
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17560687 ← → #17560717

Radix Representation

Decimal 17560716
Binary 1000010111111010010001100 (25 bits)
Octal 0o102772214
Hexadecimal 0x10BF48C

Divisor Catalog (24)

1 2 3 4 6 12 283 566 849 1,132 1,698 3,396 5,171 10,342 15,513 20,684 31,026 62,052 1,463,393 2,926,786 4,390,179 5,853,572 8,780,358 17,560,716

Collatz Trajectory (94 steps to reach 1)

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

17,560,716 8,780,358 4,390,179 13,170,538 6,585,269 19,755,808 9,877,904 4,938,952 2,469,476 1,234,738 617,369 1,852,108 926,054 463,027 1,389,082 694,541 2,083,624 1,041,812 520,906 260,453 781,360 390,680 195,340 97,670 48,835 146,506 73,253 219,760 109,880 54,940 27,470 13,735 41,206 20,603 61,810 30,905 92,716 46,358 23,179 69,538 34,769 104,308 52,154 26,077 78,232 39,116 19,558 9,779 29,338 14,669 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095

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