λ
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Atlas › Integer Profiles › Node 80,917,480

80,917,480

23 × 5 × 7 × 288991
Abundant Even Composite

80,917,480 factors as 2^3 × 5 × 7 × 288991. Its 32 positive divisors give a proper-divisor sum of 127,156,760, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 288991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 208,074,240
Proper Divisor Sum 127,156,760
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #80917457 ← → #80917481

Radix Representation

Decimal 80917480
Binary 100110100101011001111101000 (27 bits)
Octal 0o464531750
Hexadecimal 0x4D2B3E8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 288,991 577,982 1,155,964 1,444,955 2,022,937 2,311,928 2,889,910 4,045,874 5,779,820 8,091,748 10,114,685 11,559,640 16,183,496 20,229,370 40,458,740 80,917,480

Collatz Trajectory (254 steps to reach 1)

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

80,917,480 40,458,740 20,229,370 10,114,685 30,344,056 15,172,028 7,586,014 3,793,007 11,379,022 5,689,511 17,068,534 8,534,267 25,602,802 12,801,401 38,404,204 19,202,102 9,601,051 28,803,154 14,401,577 43,204,732 21,602,366 10,801,183 32,403,550 16,201,775 48,605,326 24,302,663 72,907,990 36,453,995 109,361,986 54,680,993 164,042,980 82,021,490 41,010,745 123,032,236 61,516,118 30,758,059 92,274,178 46,137,089 138,411,268 69,205,634 34,602,817 103,808,452 51,904,226 25,952,113 77,856,340 38,928,170 19,464,085 58,392,256 29,196,128 14,598,064 7,299,032 3,649,516 1,824,758 912,379 2,737,138 1,368,569 4,105,708 2,052,854 1,026,427 3,079,282

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