λ
Harmonic Matrix

310,240

25 × 5 × 7 × 277
Abundant Even Composite

310,240 has digital root 1. The neighboring primes are 310237 and 310243; its proper-divisor sum differs from the starting integer by 220,192.

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Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 840,672
Proper Divisor Sum 530,432
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #310237 ← → #310243

Radix Representation

Decimal 310240
Binary 1001011101111100000 (19 bits)
Octal 0o1135740
Hexadecimal 0x4BBE0

Divisor Catalog (5 of 48)

1 2 4 5 7

Collatz Trajectory (171 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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