λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,945,808

80,945,808

24 × 3 × 41 × 41131
Abundant Even Composite

80,945,808 factors as 2^4 × 3 × 41 × 41131. Its 40 positive divisors give a proper-divisor sum of 133,269,648, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 41 × 41131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 214,215,456
Proper Divisor Sum 133,269,648
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #80945807 ← → #80945819

Radix Representation

Decimal 80945808
Binary 100110100110010001010010000 (27 bits)
Octal 0o464621220
Hexadecimal 0x4D32290

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1,968 41,131 82,262 123,393 164,524 246,786 329,048 493,572 658,096 987,144 1,686,371 1,974,288 3,372,742 5,059,113 6,745,484 10,118,226 13,490,968 20,236,452 26,981,936 40,472,904 80,945,808

Collatz Trajectory (210 steps to reach 1)

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

80,945,808 40,472,904 20,236,452 10,118,226 5,059,113 15,177,340 7,588,670 3,794,335 11,383,006 5,691,503 17,074,510 8,537,255 25,611,766 12,805,883 38,417,650 19,208,825 57,626,476 28,813,238 14,406,619 43,219,858 21,609,929 64,829,788 32,414,894 16,207,447 48,622,342 24,311,171 72,933,514 36,466,757 109,400,272 54,700,136 27,350,068 13,675,034 6,837,517 20,512,552 10,256,276 5,128,138 2,564,069 7,692,208 3,846,104 1,923,052 961,526 480,763 1,442,290 721,145 2,163,436 1,081,718 540,859 1,622,578 811,289 2,433,868 1,216,934 608,467 1,825,402 912,701 2,738,104 1,369,052 684,526 342,263 1,026,790 513,395

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #80,945,807 Browse Full Index Next Integer #80,945,809 →