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Atlas › Integer Profiles › Node 13,586,992

13,586,992

24 × 37 × 59 × 389
Abundant Even Composite

13,586,992 factors as 2^4 × 37 × 59 × 389. Its 40 positive divisors give a proper-divisor sum of 13,978,208, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 59 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,565,200
Proper Divisor Sum 13,978,208
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #13586983 ← → #13586999

Radix Representation

Decimal 13586992
Binary 110011110101001000110000 (24 bits)
Octal 0o63651060
Hexadecimal 0xCF5230

Divisor Catalog (40)

1 2 4 8 16 37 59 74 118 148 236 296 389 472 592 778 944 1,556 2,183 3,112 4,366 6,224 8,732 14,393 17,464 22,951 28,786 34,928 45,902 57,572 91,804 115,144 183,608 230,288 367,216 849,187 1,698,374 3,396,748 6,793,496 13,586,992

Collatz Trajectory (86 steps to reach 1)

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

13,586,992 6,793,496 3,396,748 1,698,374 849,187 2,547,562 1,273,781 3,821,344 1,910,672 955,336 477,668 238,834 119,417 358,252 179,126 89,563 268,690 134,345 403,036 201,518 100,759 302,278 151,139 453,418 226,709 680,128 340,064 170,032 85,016 42,508 21,254 10,627 31,882 15,941 47,824 23,912 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400

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