λ
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80,960,952

23 × 3 × 1583 × 2131
Abundant Even Composite

80,960,952 factors as 2^3 × 3 × 1583 × 2131. Its 32 positive divisors give a proper-divisor sum of 121,664,328, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 1583 × 2131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 202,625,280
Proper Divisor Sum 121,664,328
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #80960951 ← → #80960963

Radix Representation

Decimal 80960952
Binary 100110100110101110110111000 (27 bits)
Octal 0o464656670
Hexadecimal 0x4D35DB8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 1,583 2,131 3,166 4,262 4,749 6,332 6,393 8,524 9,498 12,664 12,786 17,048 18,996 25,572 37,992 51,144 3,373,373 6,746,746 10,120,119 13,493,492 20,240,238 26,986,984 40,480,476 80,960,952

Collatz Trajectory (109 steps to reach 1)

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

80,960,952 40,480,476 20,240,238 10,120,119 30,360,358 15,180,179 45,540,538 22,770,269 68,310,808 34,155,404 17,077,702 8,538,851 25,616,554 12,808,277 38,424,832 19,212,416 9,606,208 4,803,104 2,401,552 1,200,776 600,388 300,194 150,097 450,292 225,146 112,573 337,720 168,860 84,430 42,215 126,646 63,323 189,970 94,985 284,956 142,478 71,239 213,718 106,859 320,578 160,289 480,868 240,434 120,217 360,652 180,326 90,163 270,490 135,245 405,736 202,868 101,434 50,717 152,152 76,076 38,038 19,019 57,058 28,529 85,588

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