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Atlas › Integer Profiles › Node 13,638,834

13,638,834

2 × 33 × 11 × 22961
Abundant Even Composite

13,638,834 factors as 2 × 3^3 × 11 × 22961. Its 32 positive divisors give a proper-divisor sum of 19,426,446, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 22961
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,065,280
Proper Divisor Sum 19,426,446
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #13638817 ← → #13638881

Radix Representation

Decimal 13638834
Binary 110100000001110010110010 (24 bits)
Octal 0o64016262
Hexadecimal 0xD01CB2

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 22,961 45,922 68,883 137,766 206,649 252,571 413,298 505,142 619,947 757,713 1,239,894 1,515,426 2,273,139 4,546,278 6,819,417 13,638,834

Collatz Trajectory (179 steps to reach 1)

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

13,638,834 6,819,417 20,458,252 10,229,126 5,114,563 15,343,690 7,671,845 23,015,536 11,507,768 5,753,884 2,876,942 1,438,471 4,315,414 2,157,707 6,473,122 3,236,561 9,709,684 4,854,842 2,427,421 7,282,264 3,641,132 1,820,566 910,283 2,730,850 1,365,425 4,096,276 2,048,138 1,024,069 3,072,208 1,536,104 768,052 384,026 192,013 576,040 288,020 144,010 72,005 216,016 108,008 54,004 27,002 13,501 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422

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