λ
Sigma Notebook

9,309,113

11 × 43 × 19681
Deficient Odd Composite

9,309,113 is odd and not a perfect square. Its factorization is 11 × 43 × 19681 and its 8 divisors sum to 10,392,096.

Prime Factor Structure

Factorization String 11 × 43 × 19681
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,392,096
Proper Divisor Sum 1,082,983
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9309103 ← → #9309119

Radix Representation

Decimal 9309113
Binary 100011100000101110111001 (24 bits)
Octal 0o43405671
Hexadecimal 0x8E0BB9

Divisor Catalog (8)

1 11 43 473 19,681 216,491 846,283 9,309,113

Collatz Trajectory (225 steps to reach 1)

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

9,309,113 27,927,340 13,963,670 6,981,835 20,945,506 10,472,753 31,418,260 15,709,130 7,854,565 23,563,696 11,781,848 5,890,924 2,945,462 1,472,731 4,418,194 2,209,097 6,627,292 3,313,646 1,656,823 4,970,470 2,485,235 7,455,706 3,727,853 11,183,560 5,591,780 2,795,890 1,397,945 4,193,836 2,096,918 1,048,459 3,145,378 1,572,689 4,718,068 2,359,034 1,179,517 3,538,552 1,769,276 884,638 442,319 1,326,958 663,479 1,990,438 995,219 2,985,658 1,492,829 4,478,488 2,239,244 1,119,622 559,811 1,679,434 839,717 2,519,152 1,259,576 629,788 314,894 157,447 472,342 236,171 708,514 354,257

More profiles

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