λ
Harmonic Matrix

7,610,512

24 × 7 × 13 × 5227
Abundant Even Composite

7,610,512 has digital root 4. The neighboring primes are 7610503 and 7610513; its proper-divisor sum differs from the starting integer by 2,930,592.

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Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 5227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,151,616
Proper Divisor Sum 10,541,104
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7610503 ← → #7610513

Radix Representation

Decimal 7610512
Binary 11101000010000010010000 (23 bits)
Octal 0o35020220
Hexadecimal 0x742090

Divisor Catalog (5 of 40)

1 2 4 7 8

Collatz Trajectory (129 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.

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