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Atlas › Integer Profiles › Node 13,675,422

13,675,422

2 × 3 × 37 × 229 × 269
Abundant Even Composite

13,675,422 factors as 2 × 3 × 37 × 229 × 269. Its 32 positive divisors give a proper-divisor sum of 14,642,178, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 229 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,317,600
Proper Divisor Sum 14,642,178
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #13675411 ← → #13675423

Radix Representation

Decimal 13675422
Binary 110100001010101110011110 (24 bits)
Octal 0o64125636
Hexadecimal 0xD0AB9E

Divisor Catalog (32)

1 2 3 6 37 74 111 222 229 269 458 538 687 807 1,374 1,614 8,473 9,953 16,946 19,906 25,419 29,859 50,838 59,718 61,601 123,202 184,803 369,606 2,279,237 4,558,474 6,837,711 13,675,422

Collatz Trajectory (241 steps to reach 1)

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

13,675,422 6,837,711 20,513,134 10,256,567 30,769,702 15,384,851 46,154,554 23,077,277 69,231,832 34,615,916 17,307,958 8,653,979 25,961,938 12,980,969 38,942,908 19,471,454 9,735,727 29,207,182 14,603,591 43,810,774 21,905,387 65,716,162 32,858,081 98,574,244 49,287,122 24,643,561 73,930,684 36,965,342 18,482,671 55,448,014 27,724,007 83,172,022 41,586,011 124,758,034 62,379,017 187,137,052 93,568,526 46,784,263 140,352,790 70,176,395 210,529,186 105,264,593 315,793,780 157,896,890 78,948,445 236,845,336 118,422,668 59,211,334 29,605,667 88,817,002 44,408,501 133,225,504 66,612,752 33,306,376 16,653,188 8,326,594 4,163,297 12,489,892 6,244,946 3,122,473

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