12,126,309

3 × 13 × 310931

12,126,309 factors as 3 × 13 × 310931. Its 8 positive divisors give a proper-divisor sum of 5,285,883, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3 × 13 × 310931

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 17,412,192

Proper Divisor Sum 5,285,883

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #12126307 ← → #12126319

Radix Representation

Decimal	12126309
Binary	101110010000100001100101 (24 bits)
Octal	0o56204145
Hexadecimal	0xB90865

Divisor Catalog (8)

1 3 13 39 310,931 932,793 4,042,103 12,126,309

Collatz Trajectory (184 steps to reach 1)

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

12,126,309 36,378,928 18,189,464 9,094,732 4,547,366 2,273,683 6,821,050 3,410,525 10,231,576 5,115,788 2,557,894 1,278,947 3,836,842 1,918,421 5,755,264 2,877,632 1,438,816 719,408 359,704 179,852 89,926 44,963 134,890 67,445 202,336 101,168 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850

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