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Atlas › Integer Profiles › Node 13,318,712

13,318,712

23 × 112 × 13759
Abundant Even Composite

13,318,712 factors as 2^3 × 11^2 × 13759. Its 24 positive divisors give a proper-divisor sum of 14,132,488, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 13759
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,451,200
Proper Divisor Sum 14,132,488
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #13318709 ← → #13318757

Radix Representation

Decimal 13318712
Binary 110010110011101000111000 (24 bits)
Octal 0o62635070
Hexadecimal 0xCB3A38

Divisor Catalog (24)

1 2 4 8 11 22 44 88 121 242 484 968 13,759 27,518 55,036 110,072 151,349 302,698 605,396 1,210,792 1,664,839 3,329,678 6,659,356 13,318,712

Collatz Trajectory (179 steps to reach 1)

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

13,318,712 6,659,356 3,329,678 1,664,839 4,994,518 2,497,259 7,491,778 3,745,889 11,237,668 5,618,834 2,809,417 8,428,252 4,214,126 2,107,063 6,321,190 3,160,595 9,481,786 4,740,893 14,222,680 7,111,340 3,555,670 1,777,835 5,333,506 2,666,753 8,000,260 4,000,130 2,000,065 6,000,196 3,000,098 1,500,049 4,500,148 2,250,074 1,125,037 3,375,112 1,687,556 843,778 421,889 1,265,668 632,834 316,417 949,252 474,626 237,313 711,940 355,970 177,985 533,956 266,978 133,489 400,468 200,234 100,117 300,352 150,176 75,088 37,544 18,772 9,386 4,693 14,080

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