λ
Harmonic Matrix

8,624,980

22 × 5 × 72 × 13 × 677
Abundant Even Composite

8,624,980 has digital root 1. The neighboring primes are 8624953 and 8624981; its proper-divisor sum differs from the starting integer by 5,473,888.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 13 × 677
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 22,723,848
Proper Divisor Sum 14,098,868
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8624953 ← → #8624981

Radix Representation

Decimal 8624980
Binary 100000111001101101010100 (24 bits)
Octal 0o40715524
Hexadecimal 0x839B54

Divisor Catalog (60 of 72)

Collatz Trajectory (75 steps to reach 1)

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

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