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Atlas › Integer Profiles › Node 80,098,662

80,098,662

2 × 3 × 7 × 172 × 6599
Abundant Even Composite

80,098,662 factors as 2 × 3 × 7 × 17^2 × 6599. Its 48 positive divisors give a proper-divisor sum of 114,416,538, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17^2 × 6599
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 194,515,200
Proper Divisor Sum 114,416,538
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #80098649 ← → #80098663

Radix Representation

Decimal 80098662
Binary 100110001100011010101100110 (27 bits)
Octal 0o461432546
Hexadecimal 0x4C63566

Divisor Catalog (48)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 578 714 867 1,734 2,023 4,046 6,069 6,599 12,138 13,198 19,797 39,594 46,193 92,386 112,183 138,579 224,366 277,158 336,549 673,098 785,281 1,570,562 1,907,111 2,355,843 3,814,222 4,711,686 5,721,333 11,442,666 13,349,777 26,699,554 40,049,331 80,098,662

Collatz Trajectory (117 steps to reach 1)

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

80,098,662 40,049,331 120,147,994 60,073,997 180,221,992 90,110,996 45,055,498 22,527,749 67,583,248 33,791,624 16,895,812 8,447,906 4,223,953 12,671,860 6,335,930 3,167,965 9,503,896 4,751,948 2,375,974 1,187,987 3,563,962 1,781,981 5,345,944 2,672,972 1,336,486 668,243 2,004,730 1,002,365 3,007,096 1,503,548 751,774 375,887 1,127,662 563,831 1,691,494 845,747 2,537,242 1,268,621 3,805,864 1,902,932 951,466 475,733 1,427,200 713,600 356,800 178,400 89,200 44,600 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114

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