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Atlas › Integer Profiles › Node 13,636,296

13,636,296

23 × 33 × 63131
Abundant Even Composite

13,636,296 factors as 2^3 × 3^3 × 63131. Its 32 positive divisors give a proper-divisor sum of 24,242,904, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 63131
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,879,200
Proper Divisor Sum 24,242,904
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #13636291 ← → #13636303

Radix Representation

Decimal 13636296
Binary 110100000001001011001000 (24 bits)
Octal 0o64011310
Hexadecimal 0xD012C8

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 63,131 126,262 189,393 252,524 378,786 505,048 568,179 757,572 1,136,358 1,515,144 1,704,537 2,272,716 3,409,074 4,545,432 6,818,148 13,636,296

Collatz Trajectory (254 steps to reach 1)

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

13,636,296 6,818,148 3,409,074 1,704,537 5,113,612 2,556,806 1,278,403 3,835,210 1,917,605 5,752,816 2,876,408 1,438,204 719,102 359,551 1,078,654 539,327 1,617,982 808,991 2,426,974 1,213,487 3,640,462 1,820,231 5,460,694 2,730,347 8,191,042 4,095,521 12,286,564 6,143,282 3,071,641 9,214,924 4,607,462 2,303,731 6,911,194 3,455,597 10,366,792 5,183,396 2,591,698 1,295,849 3,887,548 1,943,774 971,887 2,915,662 1,457,831 4,373,494 2,186,747 6,560,242 3,280,121 9,840,364 4,920,182 2,460,091 7,380,274 3,690,137 11,070,412 5,535,206 2,767,603 8,302,810 4,151,405 12,454,216 6,227,108 3,113,554

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