λ
Ratio Atlas
Atlas › Integer Profiles › Node 91,237,692

91,237,692

22 × 3 × 7 × 132 × 6427
Abundant Even Composite

91,237,692 factors as 2^2 × 3 × 7 × 13^2 × 6427. Its 72 positive divisors give a proper-divisor sum of 172,258,884, so this integer is abundant. The Collatz stopping time is 311 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13^2 × 6427
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 263,496,576
Proper Divisor Sum 172,258,884
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #91237651 ← → #91237693

Radix Representation

Decimal 91237692
Binary 101011100000010110100111100 (27 bits)
Octal 0o534026474
Hexadecimal 0x5702D3C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1,014 1,092 1,183 2,028 2,366 3,549 4,732 6,427 7,098 12,854 14,196 19,281 25,708 38,562 44,989 77,124 83,551 89,978 134,967 167,102 179,956 250,653 269,934 334,204 501,306 539,868 584,857 1,002,612 1,086,163 1,169,714 1,754,571 2,172,326 2,339,428

Collatz Trajectory (311 steps to reach 1)

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

91,237,692 45,618,846 22,809,423 68,428,270 34,214,135 102,642,406 51,321,203 153,963,610 76,981,805 230,945,416 115,472,708 57,736,354 28,868,177 86,604,532 43,302,266 21,651,133 64,953,400 32,476,700 16,238,350 8,119,175 24,357,526 12,178,763 36,536,290 18,268,145 54,804,436 27,402,218 13,701,109 41,103,328 20,551,664 10,275,832 5,137,916 2,568,958 1,284,479 3,853,438 1,926,719 5,780,158 2,890,079 8,670,238 4,335,119 13,005,358 6,502,679 19,508,038 9,754,019 29,262,058 14,631,029 43,893,088 21,946,544 10,973,272 5,486,636 2,743,318 1,371,659 4,114,978 2,057,489 6,172,468 3,086,234 1,543,117 4,629,352 2,314,676 1,157,338 578,669

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #91,237,691 Browse Full Index Next Integer #91,237,693 →