λ
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Atlas › Integer Profiles › Node 80,096,088

80,096,088

23 × 3 × 67 × 49811
Abundant Even Composite

80,096,088 factors as 2^3 × 3 × 67 × 49811. Its 32 positive divisors give a proper-divisor sum of 123,136,872, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 67 × 49811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 203,232,960
Proper Divisor Sum 123,136,872
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #80096087 ← → #80096113

Radix Representation

Decimal 80096088
Binary 100110001100010101101011000 (27 bits)
Octal 0o461425530
Hexadecimal 0x4C62B58

Divisor Catalog (32)

1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1,608 49,811 99,622 149,433 199,244 298,866 398,488 597,732 1,195,464 3,337,337 6,674,674 10,012,011 13,349,348 20,024,022 26,698,696 40,048,044 80,096,088

Collatz Trajectory (140 steps to reach 1)

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

80,096,088 40,048,044 20,024,022 10,012,011 30,036,034 15,018,017 45,054,052 22,527,026 11,263,513 33,790,540 16,895,270 8,447,635 25,342,906 12,671,453 38,014,360 19,007,180 9,503,590 4,751,795 14,255,386 7,127,693 21,383,080 10,691,540 5,345,770 2,672,885 8,018,656 4,009,328 2,004,664 1,002,332 501,166 250,583 751,750 375,875 1,127,626 563,813 1,691,440 845,720 422,860 211,430 105,715 317,146 158,573 475,720 237,860 118,930 59,465 178,396 89,198 44,599 133,798 66,899 200,698 100,349 301,048 150,524 75,262 37,631 112,894 56,447 169,342 84,671

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