λ
Harmonic Matrix

5,615,220

22 × 3 × 5 × 13 × 23 × 313
Abundant Even Composite

5,615,220 has digital root 3. The neighboring primes are 5615213 and 5615221; its proper-divisor sum differs from the starting integer by 6,494,232.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 23 × 313
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 17,724,672
Proper Divisor Sum 12,109,452
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5615213 ← → #5615221

Radix Representation

Decimal 5615220
Binary 10101011010111001110100 (23 bits)
Octal 0o25327164
Hexadecimal 0x55AE74

Divisor Catalog (5 of 96)

1 2 3 4 5

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.

5,615,220 2,807,610 1,403,805 4,211,416 2,105,708

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