λ
Ratio Atlas

80,967,250

2 × 53 × 7 × 13 × 3559
Abundant Even Composite

80,967,250 factors as 2 × 5^3 × 7 × 13 × 3559. Its 64 positive divisors give a proper-divisor sum of 105,633,710, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 7 × 13 × 3559
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 186,600,960
Proper Divisor Sum 105,633,710
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #80967233 ← → #80967253

Radix Representation

Decimal 80967250
Binary 100110100110111011001010010 (27 bits)
Octal 0o464673122
Hexadecimal 0x4D37652

Divisor Catalog (60 of 64)

Collatz Trajectory (223 steps to reach 1)

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

80,967,250 40,483,625 121,450,876 60,725,438 30,362,719 91,088,158 45,544,079 136,632,238 68,316,119 204,948,358 102,474,179 307,422,538 153,711,269 461,133,808 230,566,904 115,283,452 57,641,726 28,820,863 86,462,590 43,231,295 129,693,886 64,846,943 194,540,830 97,270,415 291,811,246 145,905,623 437,716,870 218,858,435 656,575,306 328,287,653 984,862,960 492,431,480 246,215,740 123,107,870 61,553,935 184,661,806 92,330,903 276,992,710 138,496,355 415,489,066 207,744,533 623,233,600 311,616,800 155,808,400 77,904,200 38,952,100 19,476,050 9,738,025 29,214,076 14,607,038 7,303,519 21,910,558 10,955,279 32,865,838 16,432,919 49,298,758 24,649,379 73,948,138 36,974,069 110,922,208

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