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Atlas › Integer Profiles › Node 80,908,672

80,908,672

27 × 13 × 48623
Abundant Even Composite

80,908,672 factors as 2^7 × 13 × 48623. Its 32 positive divisors give a proper-divisor sum of 92,679,008, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^7 × 13 × 48623
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 173,587,680
Proper Divisor Sum 92,679,008
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #80908657 ← → #80908679

Radix Representation

Decimal 80908672
Binary 100110100101001000110000000 (27 bits)
Octal 0o464510600
Hexadecimal 0x4D29180

Divisor Catalog (32)

1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1,664 48,623 97,246 194,492 388,984 632,099 777,968 1,264,198 1,555,936 2,528,396 3,111,872 5,056,792 6,223,744 10,113,584 20,227,168 40,454,336 80,908,672

Collatz Trajectory (109 steps to reach 1)

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

80,908,672 40,454,336 20,227,168 10,113,584 5,056,792 2,528,396 1,264,198 632,099 1,896,298 948,149 2,844,448 1,422,224 711,112 355,556 177,778 88,889 266,668 133,334 66,667 200,002 100,001 300,004 150,002 75,001 225,004 112,502 56,251 168,754 84,377 253,132 126,566 63,283 189,850 94,925 284,776 142,388 71,194 35,597 106,792 53,396 26,698 13,349 40,048 20,024 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377

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