λ
Harmonic Matrix

7,516,480

26 × 5 × 83 × 283
Abundant Even Composite

7,516,480 has digital root 4. The neighboring primes are 7516471 and 7516493; its proper-divisor sum differs from the starting integer by 3,145,312.

Prime Factor Structure

Factorization String 2^6 × 5 × 83 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 18,178,272
Proper Divisor Sum 10,661,792
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7516471 ← → #7516493

Radix Representation

Decimal 7516480
Binary 11100101011000101000000 (23 bits)
Octal 0o34530500
Hexadecimal 0x72B140

Divisor Catalog (56)

Collatz Trajectory (204 steps to reach 1)

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

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