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Atlas › Integer Profiles › Node 17,567,980

17,567,980

22 × 5 × 491 × 1789
Abundant Even Composite

17,567,980 factors as 2^2 × 5 × 491 × 1789. Its 24 positive divisors give a proper-divisor sum of 19,420,580, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 491 × 1789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 36,988,560
Proper Divisor Sum 19,420,580
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #17567969 ← → #17567981

Radix Representation

Decimal 17567980
Binary 1000011000001000011101100 (25 bits)
Octal 0o103010354
Hexadecimal 0x10C10EC

Divisor Catalog (24)

1 2 4 5 10 20 491 982 1,789 1,964 2,455 3,578 4,910 7,156 8,945 9,820 17,890 35,780 878,399 1,756,798 3,513,596 4,391,995 8,783,990 17,567,980

Collatz Trajectory (182 steps to reach 1)

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

17,567,980 8,783,990 4,391,995 13,175,986 6,587,993 19,763,980 9,881,990 4,940,995 14,822,986 7,411,493 22,234,480 11,117,240 5,558,620 2,779,310 1,389,655 4,168,966 2,084,483 6,253,450 3,126,725 9,380,176 4,690,088 2,345,044 1,172,522 586,261 1,758,784 879,392 439,696 219,848 109,924 54,962 27,481 82,444 41,222 20,611 61,834 30,917 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098

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