λ
Ratio Atlas

80,048,639

112 × 673 × 983
Deficient Odd Composite

80,048,639 factors as 11^2 × 673 × 983. Its 12 positive divisors give a proper-divisor sum of 8,159,089, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 11^2 × 673 × 983
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 88,207,728
Proper Divisor Sum 8,159,089
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #80048629 ← → #80048681

Radix Representation

Decimal 80048639
Binary 100110001010111000111111111 (27 bits)
Octal 0o461270777
Hexadecimal 0x4C571FF

Divisor Catalog (12)

Collatz Trajectory (140 steps to reach 1)

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

80,048,639 240,145,918 120,072,959 360,218,878 180,109,439 540,328,318 270,164,159 810,492,478 405,246,239 1,215,738,718 607,869,359 1,823,608,078 911,804,039 2,735,412,118 1,367,706,059 4,103,118,178 2,051,559,089 6,154,677,268 3,077,338,634 1,538,669,317 4,616,007,952 2,308,003,976 1,154,001,988 577,000,994 288,500,497 865,501,492 432,750,746 216,375,373 649,126,120 324,563,060 162,281,530 81,140,765 243,422,296 121,711,148 60,855,574 30,427,787 91,283,362 45,641,681 136,925,044 68,462,522 34,231,261 102,693,784 51,346,892 25,673,446 12,836,723 38,510,170 19,255,085 57,765,256 28,882,628 14,441,314 7,220,657 21,661,972 10,830,986 5,415,493 16,246,480 8,123,240 4,061,620 2,030,810 1,015,405 3,046,216

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