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Atlas › Integer Profiles › Node 80,959,890

80,959,890

2 × 3 × 5 × 112 × 22303
Abundant Even Composite

80,959,890 factors as 2 × 3 × 5 × 11^2 × 22303. Its 48 positive divisors give a proper-divisor sum of 132,623,214, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11^2 × 22303
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 213,583,104
Proper Divisor Sum 132,623,214
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #80959889 ← → #80959903

Radix Representation

Decimal 80959890
Binary 100110100110101100110010010 (27 bits)
Octal 0o464654622
Hexadecimal 0x4D35992

Divisor Catalog (48)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1,210 1,815 3,630 22,303 44,606 66,909 111,515 133,818 223,030 245,333 334,545 490,666 669,090 735,999 1,226,665 1,471,998 2,453,330 2,698,663 3,679,995 5,397,326 7,359,990 8,095,989 13,493,315 16,191,978 26,986,630 40,479,945 80,959,890

Collatz Trajectory (117 steps to reach 1)

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

80,959,890 40,479,945 121,439,836 60,719,918 30,359,959 91,079,878 45,539,939 136,619,818 68,309,909 204,929,728 102,464,864 51,232,432 25,616,216 12,808,108 6,404,054 3,202,027 9,606,082 4,803,041 14,409,124 7,204,562 3,602,281 10,806,844 5,403,422 2,701,711 8,105,134 4,052,567 12,157,702 6,078,851 18,236,554 9,118,277 27,354,832 13,677,416 6,838,708 3,419,354 1,709,677 5,129,032 2,564,516 1,282,258 641,129 1,923,388 961,694 480,847 1,442,542 721,271 2,163,814 1,081,907 3,245,722 1,622,861 4,868,584 2,434,292 1,217,146 608,573 1,825,720 912,860 456,430 228,215 684,646 342,323 1,026,970 513,485

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