λ
Harmonic Matrix

7,624,696

23 × 211 × 4517
Deficient Even Composite

7,624,696 has digital root 4. The neighboring primes are 7624691 and 7624711; its proper-divisor sum differs from the starting integer by -882,152.

Prime Factor Structure

Factorization String 2^3 × 211 × 4517
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,367,240
Proper Divisor Sum 6,742,544
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7624691 ← → #7624711

Radix Representation

Decimal 7624696
Binary 11101000101011111111000 (23 bits)
Octal 0o35053770
Hexadecimal 0x7457F8

Divisor Catalog (16)

Collatz Trajectory (111 steps to reach 1)

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

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