λ
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Atlas › Integer Profiles › Node 80,970,940

80,970,940

22 × 5 × 197 × 20551
Abundant Even Composite

80,970,940 factors as 2^2 × 5 × 197 × 20551. Its 24 positive divisors give a proper-divisor sum of 89,939,492, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 197 × 20551
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 170,910,432
Proper Divisor Sum 89,939,492
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #80970937 ← → #80970947

Radix Representation

Decimal 80970940
Binary 100110100111000010010111100 (27 bits)
Octal 0o464702274
Hexadecimal 0x4D384BC

Divisor Catalog (24)

1 2 4 5 10 20 197 394 788 985 1,970 3,940 20,551 41,102 82,204 102,755 205,510 411,020 4,048,547 8,097,094 16,194,188 20,242,735 40,485,470 80,970,940

Collatz Trajectory (254 steps to reach 1)

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

80,970,940 40,485,470 20,242,735 60,728,206 30,364,103 91,092,310 45,546,155 136,638,466 68,319,233 204,957,700 102,478,850 51,239,425 153,718,276 76,859,138 38,429,569 115,288,708 57,644,354 28,822,177 86,466,532 43,233,266 21,616,633 64,849,900 32,424,950 16,212,475 48,637,426 24,318,713 72,956,140 36,478,070 18,239,035 54,717,106 27,358,553 82,075,660 41,037,830 20,518,915 61,556,746 30,778,373 92,335,120 46,167,560 23,083,780 11,541,890 5,770,945 17,312,836 8,656,418 4,328,209 12,984,628 6,492,314 3,246,157 9,738,472 4,869,236 2,434,618 1,217,309 3,651,928 1,825,964 912,982 456,491 1,369,474 684,737 2,054,212 1,027,106 513,553

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