13,338,766

2 × 7 × 109 × 8741

13,338,766 factors as 2 × 7 × 109 × 8741. Its 16 positive divisors give a proper-divisor sum of 9,740,114, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2 × 7 × 109 × 8741

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 23,078,880

Proper Divisor Sum 9,740,114

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #13338763 ← → #13338799

Radix Representation

Decimal	13338766
Binary	110010111000100010001110 (24 bits)
Octal	0o62704216
Hexadecimal	0xCB888E

Divisor Catalog (16)

1 2 7 14 109 218 763 1,526 8,741 17,482 61,187 122,374 952,769 1,905,538 6,669,383 13,338,766

Collatz Trajectory (140 steps to reach 1)

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

13,338,766 6,669,383 20,008,150 10,004,075 30,012,226 15,006,113 45,018,340 22,509,170 11,254,585 33,763,756 16,881,878 8,440,939 25,322,818 12,661,409 37,984,228 18,992,114 9,496,057 28,488,172 14,244,086 7,122,043 21,366,130 10,683,065 32,049,196 16,024,598 8,012,299 24,036,898 12,018,449 36,055,348 18,027,674 9,013,837 27,041,512 13,520,756 6,760,378 3,380,189 10,140,568 5,070,284 2,535,142 1,267,571 3,802,714 1,901,357 5,704,072 2,852,036 1,426,018 713,009 2,139,028 1,069,514 534,757 1,604,272 802,136 401,068 200,534 100,267 300,802 150,401 451,204 225,602 112,801 338,404 169,202 84,601

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