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Atlas › Integer Profiles › Node 13,337,536

13,337,536

26 × 271 × 769
Deficient Even Composite

13,337,536 factors as 2^6 × 271 × 769. Its 28 positive divisors give a proper-divisor sum of 13,261,344, so this integer is deficient. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^6 × 271 × 769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 26,598,880
Proper Divisor Sum 13,261,344
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13337531 ← → #13337543

Radix Representation

Decimal 13337536
Binary 110010111000001111000000 (24 bits)
Octal 0o62701700
Hexadecimal 0xCB83C0

Divisor Catalog (28)

1 2 4 8 16 32 64 271 542 769 1,084 1,538 2,168 3,076 4,336 6,152 8,672 12,304 17,344 24,608 49,216 208,399 416,798 833,596 1,667,192 3,334,384 6,668,768 13,337,536

Collatz Trajectory (60 steps to reach 1)

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

13,337,536 6,668,768 3,334,384 1,667,192 833,596 416,798 208,399 625,198 312,599 937,798 468,899 1,406,698 703,349 2,110,048 1,055,024 527,512 263,756 131,878 65,939 197,818 98,909 296,728 148,364 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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