λ
Harmonic Matrix

5,616,456

23 × 3 × 31 × 7549
Abundant Even Composite

5,616,456 has digital root 6. The neighboring primes are 5616449 and 5616469; its proper-divisor sum differs from the starting integer by 3,263,088.

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Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 7549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,496,000
Proper Divisor Sum 8,879,544
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5616449 ← → #5616469

Radix Representation

Decimal 5616456
Binary 10101011011001101001000 (23 bits)
Octal 0o25331510
Hexadecimal 0x55B348

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (131 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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