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Atlas › Integer Profiles › Node 80,901,548

80,901,548

22 × 72 × 13 × 31751
Abundant Even Composite

80,901,548 factors as 2^2 × 7^2 × 13 × 31751. Its 36 positive divisors give a proper-divisor sum of 96,465,124, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 31751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 177,366,672
Proper Divisor Sum 96,465,124
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #80901463 ← → #80901553

Radix Representation

Decimal 80901548
Binary 100110100100111010110101100 (27 bits)
Octal 0o464472654
Hexadecimal 0x4D275AC

Divisor Catalog (36)

1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1,274 2,548 31,751 63,502 127,004 222,257 412,763 444,514 825,526 889,028 1,555,799 1,651,052 2,889,341 3,111,598 5,778,682 6,223,196 11,557,364 20,225,387 40,450,774 80,901,548

Collatz Trajectory (148 steps to reach 1)

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

80,901,548 40,450,774 20,225,387 60,676,162 30,338,081 91,014,244 45,507,122 22,753,561 68,260,684 34,130,342 17,065,171 51,195,514 25,597,757 76,793,272 38,396,636 19,198,318 9,599,159 28,797,478 14,398,739 43,196,218 21,598,109 64,794,328 32,397,164 16,198,582 8,099,291 24,297,874 12,148,937 36,446,812 18,223,406 9,111,703 27,335,110 13,667,555 41,002,666 20,501,333 61,504,000 30,752,000 15,376,000 7,688,000 3,844,000 1,922,000 961,000 480,500 240,250 120,125 360,376 180,188 90,094 45,047 135,142 67,571 202,714 101,357 304,072 152,036 76,018 38,009 114,028 57,014 28,507 85,522

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