λ
Integer Codex

7,921,760

25 × 5 × 7 × 11 × 643
Abundant Even Composite

For 7,921,760, the 96 positive divisors have a total of 23,369,472. Removing 7,921,760 leaves 15,447,712, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 11 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 23,369,472
Proper Divisor Sum 15,447,712
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7921759 ← → #7921777

Radix Representation

Decimal 7921760
Binary 11110001110000001100000 (23 bits)
Octal 0o36160140
Hexadecimal 0x78E060

Divisor Catalog (5 of 96)

1 2 4 5 7

Collatz Trajectory (217 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.

7,921,760 3,960,880 1,980,440 990,220 495,110

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