13,309,967

11 × 467 × 2591

13,309,967 factors as 11 × 467 × 2591. Its 8 positive divisors give a proper-divisor sum of 1,246,705, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 11 × 467 × 2591

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,556,672

Proper Divisor Sum 1,246,705

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #13309957 ← → #13309991

Radix Representation

Decimal	13309967
Binary	110010110001100000001111 (24 bits)
Octal	0o62614017
Hexadecimal	0xCB180F

Divisor Catalog (8)

1 11 467 2,591 5,137 28,501 1,209,997 13,309,967

Collatz Trajectory (140 steps to reach 1)

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

13,309,967 39,929,902 19,964,951 59,894,854 29,947,427 89,842,282 44,921,141 134,763,424 67,381,712 33,690,856 16,845,428 8,422,714 4,211,357 12,634,072 6,317,036 3,158,518 1,579,259 4,737,778 2,368,889 7,106,668 3,553,334 1,776,667 5,330,002 2,665,001 7,995,004 3,997,502 1,998,751 5,996,254 2,998,127 8,994,382 4,497,191 13,491,574 6,745,787 20,237,362 10,118,681 30,356,044 15,178,022 7,589,011 22,767,034 11,383,517 34,150,552 17,075,276 8,537,638 4,268,819 12,806,458 6,403,229 19,209,688 9,604,844 4,802,422 2,401,211 7,203,634 3,601,817 10,805,452 5,402,726 2,701,363 8,104,090 4,052,045 12,156,136 6,078,068 3,039,034

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