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Atlas › Integer Profiles › Node 62,336,742

62,336,742

2 × 3 × 13 × 163 × 4903
Abundant Even Composite

62,336,742 factors as 2 × 3 × 13 × 163 × 4903. Its 32 positive divisors give a proper-divisor sum of 72,778,266, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 163 × 4903
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 135,115,008
Proper Divisor Sum 72,778,266
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #62336741 ← → #62336761

Radix Representation

Decimal 62336742
Binary 11101101110010111011100110 (26 bits)
Octal 0o355627346
Hexadecimal 0x3B72EE6

Divisor Catalog (32)

1 2 3 6 13 26 39 78 163 326 489 978 2,119 4,238 4,903 6,357 9,806 12,714 14,709 29,418 63,739 127,478 191,217 382,434 799,189 1,598,378 2,397,567 4,795,134 10,389,457 20,778,914 31,168,371 62,336,742

Collatz Trajectory (163 steps to reach 1)

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

62,336,742 31,168,371 93,505,114 46,752,557 140,257,672 70,128,836 35,064,418 17,532,209 52,596,628 26,298,314 13,149,157 39,447,472 19,723,736 9,861,868 4,930,934 2,465,467 7,396,402 3,698,201 11,094,604 5,547,302 2,773,651 8,320,954 4,160,477 12,481,432 6,240,716 3,120,358 1,560,179 4,680,538 2,340,269 7,020,808 3,510,404 1,755,202 877,601 2,632,804 1,316,402 658,201 1,974,604 987,302 493,651 1,480,954 740,477 2,221,432 1,110,716 555,358 277,679 833,038 416,519 1,249,558 624,779 1,874,338 937,169 2,811,508 1,405,754 702,877 2,108,632 1,054,316 527,158 263,579 790,738 395,369

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