λ
Harmonic Matrix

9,320,331

3 × 3106777
Deficient Odd Composite

9,320,331 has digital root 3. The neighboring primes are 9320329 and 9320357; its proper-divisor sum differs from the starting integer by -6,213,550.

Prime Factor Structure

Factorization String 3 × 3106777
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,427,112
Proper Divisor Sum 3,106,781
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9320329 ← → #9320357

Radix Representation

Decimal 9320331
Binary 100011100011011110001011 (24 bits)
Octal 0o43433613
Hexadecimal 0x8E378B

Divisor Catalog (4)

1 3 3,106,777 9,320,331

Collatz Trajectory (181 steps to reach 1)

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

9,320,331 27,960,994 13,980,497 41,941,492 20,970,746 10,485,373 31,456,120 15,728,060 7,864,030 3,932,015 11,796,046 5,898,023 17,694,070 8,847,035 26,541,106 13,270,553 39,811,660 19,905,830 9,952,915 29,858,746 14,929,373 44,788,120 22,394,060 11,197,030 5,598,515 16,795,546 8,397,773 25,193,320 12,596,660 6,298,330 3,149,165 9,447,496 4,723,748 2,361,874 1,180,937 3,542,812 1,771,406 885,703 2,657,110 1,328,555 3,985,666 1,992,833 5,978,500 2,989,250 1,494,625 4,483,876 2,241,938 1,120,969 3,362,908 1,681,454 840,727 2,522,182 1,261,091 3,783,274 1,891,637 5,674,912 2,837,456 1,418,728 709,364 354,682

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