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Atlas › Integer Profiles › Node 80,767,204

80,767,204

22 × 7 × 17 × 29 × 5851
Abundant Even Composite

80,767,204 factors as 2^2 × 7 × 17 × 29 × 5851. Its 48 positive divisors give a proper-divisor sum of 96,197,276, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 29 × 5851
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 176,964,480
Proper Divisor Sum 96,197,276
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #80767163 ← → #80767231

Radix Representation

Decimal 80767204
Binary 100110100000110100011100100 (27 bits)
Octal 0o464064344
Hexadecimal 0x4D068E4

Divisor Catalog (48)

1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 406 476 493 812 986 1,972 3,451 5,851 6,902 11,702 13,804 23,404 40,957 81,914 99,467 163,828 169,679 198,934 339,358 397,868 678,716 696,269 1,187,753 1,392,538 2,375,506 2,785,076 2,884,543 4,751,012 5,769,086 11,538,172 20,191,801 40,383,602 80,767,204

Collatz Trajectory (210 steps to reach 1)

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

80,767,204 40,383,602 20,191,801 60,575,404 30,287,702 15,143,851 45,431,554 22,715,777 68,147,332 34,073,666 17,036,833 51,110,500 25,555,250 12,777,625 38,332,876 19,166,438 9,583,219 28,749,658 14,374,829 43,124,488 21,562,244 10,781,122 5,390,561 16,171,684 8,085,842 4,042,921 12,128,764 6,064,382 3,032,191 9,096,574 4,548,287 13,644,862 6,822,431 20,467,294 10,233,647 30,700,942 15,350,471 46,051,414 23,025,707 69,077,122 34,538,561 103,615,684 51,807,842 25,903,921 77,711,764 38,855,882 19,427,941 58,283,824 29,141,912 14,570,956 7,285,478 3,642,739 10,928,218 5,464,109 16,392,328 8,196,164 4,098,082 2,049,041 6,147,124 3,073,562

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