13,626,431

7 × 13 × 137 × 1093

13,626,431 factors as 7 × 13 × 137 × 1093. Its 16 positive divisors give a proper-divisor sum of 3,282,433, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 7 × 13 × 137 × 1093

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,908,864

Proper Divisor Sum 3,282,433

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #13626413 ← → #13626443

Radix Representation

Decimal	13626431
Binary	110011111110110000111111 (24 bits)
Octal	0o63766077
Hexadecimal	0xCFEC3F

Divisor Catalog (16)

1 7 13 91 137 959 1,093 1,781 7,651 12,467 14,209 99,463 149,741 1,048,187 1,946,633 13,626,431

Collatz Trajectory (223 steps to reach 1)

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

13,626,431 40,879,294 20,439,647 61,318,942 30,659,471 91,978,414 45,989,207 137,967,622 68,983,811 206,951,434 103,475,717 310,427,152 155,213,576 77,606,788 38,803,394 19,401,697 58,205,092 29,102,546 14,551,273 43,653,820 21,826,910 10,913,455 32,740,366 16,370,183 49,110,550 24,555,275 73,665,826 36,832,913 110,498,740 55,249,370 27,624,685 82,874,056 41,437,028 20,718,514 10,359,257 31,077,772 15,538,886 7,769,443 23,308,330 11,654,165 34,962,496 17,481,248 8,740,624 4,370,312 2,185,156 1,092,578 546,289 1,638,868 819,434 409,717 1,229,152 614,576 307,288 153,644 76,822 38,411 115,234 57,617 172,852 86,426

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