λ
Integer Codex

9,920,960

26 × 5 × 7 × 43 × 103
Abundant Even Composite

For 9,920,960, the 112 positive divisors have a total of 27,895,296. Removing 9,920,960 leaves 17,974,336, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 43 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 27,895,296
Proper Divisor Sum 17,974,336
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9920957 ← → #9920993

Radix Representation

Decimal 9920960
Binary 100101110110000111000000 (24 bits)
Octal 0o45660700
Hexadecimal 0x9761C0

Divisor Catalog (5 of 112)

1 2 4 5 7

Collatz Trajectory (176 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.

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