λ
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Atlas › Integer Profiles › Node 80,911,432

80,911,432

23 × 7 × 17 × 84991
Abundant Even Composite

80,911,432 factors as 2^3 × 7 × 17 × 84991. Its 32 positive divisors give a proper-divisor sum of 102,671,288, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 84991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 183,582,720
Proper Divisor Sum 102,671,288
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #80911427 ← → #80911433

Radix Representation

Decimal 80911432
Binary 100110100101001110001001000 (27 bits)
Octal 0o464516110
Hexadecimal 0x4D29C48

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 84,991 169,982 339,964 594,937 679,928 1,189,874 1,444,847 2,379,748 2,889,694 4,759,496 5,779,388 10,113,929 11,558,776 20,227,858 40,455,716 80,911,432

Collatz Trajectory (210 steps to reach 1)

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

80,911,432 40,455,716 20,227,858 10,113,929 30,341,788 15,170,894 7,585,447 22,756,342 11,378,171 34,134,514 17,067,257 51,201,772 25,600,886 12,800,443 38,401,330 19,200,665 57,601,996 28,800,998 14,400,499 43,201,498 21,600,749 64,802,248 32,401,124 16,200,562 8,100,281 24,300,844 12,150,422 6,075,211 18,225,634 9,112,817 27,338,452 13,669,226 6,834,613 20,503,840 10,251,920 5,125,960 2,562,980 1,281,490 640,745 1,922,236 961,118 480,559 1,441,678 720,839 2,162,518 1,081,259 3,243,778 1,621,889 4,865,668 2,432,834 1,216,417 3,649,252 1,824,626 912,313 2,736,940 1,368,470 684,235 2,052,706 1,026,353 3,079,060

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