λ
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Atlas › Integer Profiles › Node 62,844,964

62,844,964

22 × 7 × 13 × 41 × 4211
Abundant Even Composite

62,844,964 factors as 2^2 × 7 × 13 × 41 × 4211. Its 48 positive divisors give a proper-divisor sum of 75,847,772, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 41 × 4211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 138,692,736
Proper Divisor Sum 75,847,772
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #62844959 ← → #62844979

Radix Representation

Decimal 62844964
Binary 11101111101111000000100100 (26 bits)
Octal 0o357570044
Hexadecimal 0x3BEF024

Divisor Catalog (48)

1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1,066 1,148 2,132 3,731 4,211 7,462 8,422 14,924 16,844 29,477 54,743 58,954 109,486 117,908 172,651 218,972 345,302 383,201 690,604 766,402 1,208,557 1,532,804 2,244,463 2,417,114 4,488,926 4,834,228 8,977,852 15,711,241 31,422,482 62,844,964

Collatz Trajectory (251 steps to reach 1)

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

62,844,964 31,422,482 15,711,241 47,133,724 23,566,862 11,783,431 35,350,294 17,675,147 53,025,442 26,512,721 79,538,164 39,769,082 19,884,541 59,653,624 29,826,812 14,913,406 7,456,703 22,370,110 11,185,055 33,555,166 16,777,583 50,332,750 25,166,375 75,499,126 37,749,563 113,248,690 56,624,345 169,873,036 84,936,518 42,468,259 127,404,778 63,702,389 191,107,168 95,553,584 47,776,792 23,888,396 11,944,198 5,972,099 17,916,298 8,958,149 26,874,448 13,437,224 6,718,612 3,359,306 1,679,653 5,038,960 2,519,480 1,259,740 629,870 314,935 944,806 472,403 1,417,210 708,605 2,125,816 1,062,908 531,454 265,727 797,182 398,591

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