λ
Integer Codex

7,677,414

2 × 32 × 41 × 101 × 103
Abundant Even Composite

For 7,677,414, the 48 positive divisors have a total of 17,375,904. Removing 7,677,414 leaves 9,698,490, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 101 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,375,904
Proper Divisor Sum 9,698,490
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7677413 ← → #7677433

Radix Representation

Decimal 7677414
Binary 11101010010010111100110 (23 bits)
Octal 0o35222746
Hexadecimal 0x7525E6

Divisor Catalog (5 of 48)

1 2 3 6 9

Collatz Trajectory (279 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.

7,677,414 3,838,707 11,516,122 5,758,061 17,274,184

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