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Atlas › Integer Profiles › Node 80,924,826

80,924,826

2 × 3 × 151 × 179 × 499
Abundant Even Composite

80,924,826 factors as 2 × 3 × 151 × 179 × 499. Its 32 positive divisors give a proper-divisor sum of 83,235,174, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 3 × 151 × 179 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 164,160,000
Proper Divisor Sum 83,235,174
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #80924801 ← → #80924863

Radix Representation

Decimal 80924826
Binary 100110100101101000010011010 (27 bits)
Octal 0o464550232
Hexadecimal 0x4D2D09A

Divisor Catalog (32)

1 2 3 6 151 179 302 358 453 499 537 906 998 1,074 1,497 2,994 27,029 54,058 75,349 81,087 89,321 150,698 162,174 178,642 226,047 267,963 452,094 535,926 13,487,471 26,974,942 40,462,413 80,924,826

Collatz Trajectory (210 steps to reach 1)

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

80,924,826 40,462,413 121,387,240 60,693,620 30,346,810 15,173,405 45,520,216 22,760,108 11,380,054 5,690,027 17,070,082 8,535,041 25,605,124 12,802,562 6,401,281 19,203,844 9,601,922 4,800,961 14,402,884 7,201,442 3,600,721 10,802,164 5,401,082 2,700,541 8,101,624 4,050,812 2,025,406 1,012,703 3,038,110 1,519,055 4,557,166 2,278,583 6,835,750 3,417,875 10,253,626 5,126,813 15,380,440 7,690,220 3,845,110 1,922,555 5,767,666 2,883,833 8,651,500 4,325,750 2,162,875 6,488,626 3,244,313 9,732,940 4,866,470 2,433,235 7,299,706 3,649,853 10,949,560 5,474,780 2,737,390 1,368,695 4,106,086 2,053,043 6,159,130 3,079,565

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