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Atlas › Integer Profiles › Node 16,460,980

16,460,980

22 × 5 × 29 × 101 × 281
Abundant Even Composite

16,460,980 factors as 2^2 × 5 × 29 × 101 × 281. Its 48 positive divisors give a proper-divisor sum of 19,781,660, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 101 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,242,640
Proper Divisor Sum 19,781,660
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #16460971 ← → #16460999

Radix Representation

Decimal 16460980
Binary 111110110010110010110100 (24 bits)
Octal 0o76626264
Hexadecimal 0xFB2CB4

Divisor Catalog (48)

1 2 4 5 10 20 29 58 101 116 145 202 281 290 404 505 562 580 1,010 1,124 1,405 2,020 2,810 2,929 5,620 5,858 8,149 11,716 14,645 16,298 28,381 29,290 32,596 40,745 56,762 58,580 81,490 113,524 141,905 162,980 283,810 567,620 823,049 1,646,098 3,292,196 4,115,245 8,230,490 16,460,980

Collatz Trajectory (138 steps to reach 1)

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

16,460,980 8,230,490 4,115,245 12,345,736 6,172,868 3,086,434 1,543,217 4,629,652 2,314,826 1,157,413 3,472,240 1,736,120 868,060 434,030 217,015 651,046 325,523 976,570 488,285 1,464,856 732,428 366,214 183,107 549,322 274,661 823,984 411,992 205,996 102,998 51,499 154,498 77,249 231,748 115,874 57,937 173,812 86,906 43,453 130,360 65,180 32,590 16,295 48,886 24,443 73,330 36,665 109,996 54,998 27,499 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416

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