λ
Harmonic Matrix

7,625,508

22 × 3 × 11 × 41 × 1409
Abundant Even Composite

7,625,508 has digital root 6. The neighboring primes are 7625483 and 7625509; its proper-divisor sum differs from the starting integer by 4,646,904.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 41 × 1409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,897,920
Proper Divisor Sum 12,272,412
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7625483 ← → #7625509

Radix Representation

Decimal 7625508
Binary 11101000101101100100100 (23 bits)
Octal 0o35055444
Hexadecimal 0x745B24

Divisor Catalog (48)

Collatz Trajectory (155 steps to reach 1)

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

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