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Atlas › Integer Profiles › Node 62,042,940

62,042,940

22 × 32 × 5 × 344683
Abundant Even Composite

62,042,940 factors as 2^2 × 3^2 × 5 × 344683. Its 36 positive divisors give a proper-divisor sum of 126,154,524, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 344683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 188,197,464
Proper Divisor Sum 126,154,524
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #62042899 ← → #62042941

Radix Representation

Decimal 62042940
Binary 11101100101011001100111100 (26 bits)
Octal 0o354531474
Hexadecimal 0x3B2B33C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 344,683 689,366 1,034,049 1,378,732 1,723,415 2,068,098 3,102,147 3,446,830 4,136,196 5,170,245 6,204,294 6,893,660 10,340,490 12,408,588 15,510,735 20,680,980 31,021,470 62,042,940

Collatz Trajectory (114 steps to reach 1)

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

62,042,940 31,021,470 15,510,735 46,532,206 23,266,103 69,798,310 34,899,155 104,697,466 52,348,733 157,046,200 78,523,100 39,261,550 19,630,775 58,892,326 29,446,163 88,338,490 44,169,245 132,507,736 66,253,868 33,126,934 16,563,467 49,690,402 24,845,201 74,535,604 37,267,802 18,633,901 55,901,704 27,950,852 13,975,426 6,987,713 20,963,140 10,481,570 5,240,785 15,722,356 7,861,178 3,930,589 11,791,768 5,895,884 2,947,942 1,473,971 4,421,914 2,210,957 6,632,872 3,316,436 1,658,218 829,109 2,487,328 1,243,664 621,832 310,916 155,458 77,729 233,188 116,594 58,297 174,892 87,446 43,723 131,170 65,585

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