λ
Integer Codex

9,112,797

33 × 337511
Deficient Odd Composite

For 9,112,797, the 8 positive divisors have a total of 13,500,480. Removing 9,112,797 leaves 4,387,683, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 337511
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,500,480
Proper Divisor Sum 4,387,683
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9112793 ← → #9112823

Radix Representation

Decimal 9112797
Binary 100010110000110011011101 (24 bits)
Octal 0o42606335
Hexadecimal 0x8B0CDD

Divisor Catalog (8)

1 3 9 27 337,511 1,012,533 3,037,599 9,112,797

Collatz Trajectory (150 steps to reach 1)

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

9,112,797 27,338,392 13,669,196 6,834,598 3,417,299 10,251,898 5,125,949 15,377,848 7,688,924 3,844,462 1,922,231 5,766,694 2,883,347 8,650,042 4,325,021 12,975,064 6,487,532 3,243,766 1,621,883 4,865,650 2,432,825 7,298,476 3,649,238 1,824,619 5,473,858 2,736,929 8,210,788 4,105,394 2,052,697 6,158,092 3,079,046 1,539,523 4,618,570 2,309,285 6,927,856 3,463,928 1,731,964 865,982 432,991 1,298,974 649,487 1,948,462 974,231 2,922,694 1,461,347 4,384,042 2,192,021 6,576,064 3,288,032 1,644,016 822,008 411,004 205,502 102,751 308,254 154,127 462,382 231,191 693,574 346,787

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