λ
Harmonic Matrix

5,496,440

23 × 5 × 17 × 59 × 137
Abundant Even Composite

5,496,440 has digital root 5. The neighboring primes are 5496431 and 5496443; its proper-divisor sum differs from the starting integer by 2,420,720.

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Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 59 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,413,600
Proper Divisor Sum 7,917,160
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5496431 ← → #5496443

Radix Representation

Decimal 5496440
Binary 10100111101111001111000 (23 bits)
Octal 0o24757170
Hexadecimal 0x53DE78

Divisor Catalog (5 of 64)

1 2 4 5 8

Collatz Trajectory (108 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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