λ
Ratio Atlas

76,357,033

23 × 59 × 56269
Deficient Odd Composite

76,357,033 factors as 23 × 59 × 56269. Its 8 positive divisors give a proper-divisor sum of 4,671,767, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 23 × 59 × 56269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 81,028,800
Proper Divisor Sum 4,671,767
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #76357027 ← → #76357037

Radix Representation

Decimal 76357033
Binary 100100011010001110110101001 (27 bits)
Octal 0o443216651
Hexadecimal 0x48D1DA9

Divisor Catalog (8)

Collatz Trajectory (272 steps to reach 1)

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

76,357,033 229,071,100 114,535,550 57,267,775 171,803,326 85,901,663 257,704,990 128,852,495 386,557,486 193,278,743 579,836,230 289,918,115 869,754,346 434,877,173 1,304,631,520 652,315,760 326,157,880 163,078,940 81,539,470 40,769,735 122,309,206 61,154,603 183,463,810 91,731,905 275,195,716 137,597,858 68,798,929 206,396,788 103,198,394 51,599,197 154,797,592 77,398,796 38,699,398 19,349,699 58,049,098 29,024,549 87,073,648 43,536,824 21,768,412 10,884,206 5,442,103 16,326,310 8,163,155 24,489,466 12,244,733 36,734,200 18,367,100 9,183,550 4,591,775 13,775,326 6,887,663 20,662,990 10,331,495 30,994,486 15,497,243 46,491,730 23,245,865 69,737,596 34,868,798 17,434,399

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