λ
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Atlas › Integer Profiles › Node 13,612,467

13,612,467

3 × 11 × 43 × 53 × 181
Deficient Odd Composite

13,612,467 factors as 3 × 11 × 43 × 53 × 181. Its 32 positive divisors give a proper-divisor sum of 7,144,269, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 3 × 11 × 43 × 53 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,756,736
Proper Divisor Sum 7,144,269
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #13612453 ← → #13612471

Radix Representation

Decimal 13612467
Binary 110011111011010110110011 (24 bits)
Octal 0o63732663
Hexadecimal 0xCFB5B3

Divisor Catalog (32)

1 3 11 33 43 53 129 159 181 473 543 583 1,419 1,749 1,991 2,279 5,973 6,837 7,783 9,593 23,349 25,069 28,779 75,207 85,613 105,523 256,839 316,569 412,499 1,237,497 4,537,489 13,612,467

Collatz Trajectory (117 steps to reach 1)

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

13,612,467 40,837,402 20,418,701 61,256,104 30,628,052 15,314,026 7,657,013 22,971,040 11,485,520 5,742,760 2,871,380 1,435,690 717,845 2,153,536 1,076,768 538,384 269,192 134,596 67,298 33,649 100,948 50,474 25,237 75,712 37,856 18,928 9,464 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402

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