λ
Integer Codex

7,761,760

25 × 5 × 139 × 349
Abundant Even Composite

For 7,761,760, the 48 positive divisors have a total of 18,522,000. Removing 7,761,760 leaves 10,760,240, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^5 × 5 × 139 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,522,000
Proper Divisor Sum 10,760,240
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7761739 ← → #7761769

Radix Representation

Decimal 7761760
Binary 11101100110111101100000 (23 bits)
Octal 0o35467540
Hexadecimal 0x766F60

Divisor Catalog (5 of 48)

1 2 4 5 8

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.

7,761,760 3,880,880 1,940,440 970,220 485,110

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