λ
Integer Codex

9,224,748

22 × 32 × 13 × 23 × 857
Abundant Even Composite

For 9,224,748, the 72 positive divisors have a total of 26,234,208. Removing 9,224,748 leaves 17,009,460, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 23 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,234,208
Proper Divisor Sum 17,009,460
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9224731 ← → #9224753

Radix Representation

Decimal 9224748
Binary 100011001100001000101100 (24 bits)
Octal 0o43141054
Hexadecimal 0x8CC22C

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (256 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

9,224,748 4,612,374 2,306,187 6,918,562 3,459,281

More profiles

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