13,625,979

3 × 677 × 6709

13,625,979 factors as 3 × 677 × 6709. Its 8 positive divisors give a proper-divisor sum of 4,571,541, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 3 × 677 × 6709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 18,197,520

Proper Divisor Sum 4,571,541

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #13625951 ← → #13626001

Radix Representation

Decimal	13625979
Binary	110011111110101001111011 (24 bits)
Octal	0o63765173
Hexadecimal	0xCFEA7B

Divisor Catalog (8)

1 3 677 2,031 6,709 20,127 4,541,993 13,625,979

Collatz Trajectory (117 steps to reach 1)

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

13,625,979 40,877,938 20,438,969 61,316,908 30,658,454 15,329,227 45,987,682 22,993,841 68,981,524 34,490,762 17,245,381 51,736,144 25,868,072 12,934,036 6,467,018 3,233,509 9,700,528 4,850,264 2,425,132 1,212,566 606,283 1,818,850 909,425 2,728,276 1,364,138 682,069 2,046,208 1,023,104 511,552 255,776 127,888 63,944 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416

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