λ
Harmonic Matrix

2,559,312

24 × 32 × 7 × 2539
Abundant Even Composite

2,559,312 has digital root 9. The neighboring primes are 2559289 and 2559313; its proper-divisor sum differs from the starting integer by 3,070,336.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 2539
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 8,188,960
Proper Divisor Sum 5,629,648
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2559289 ← → #2559313

Radix Representation

Decimal 2559312
Binary 1001110000110101010000 (22 bits)
Octal 0o11606520
Hexadecimal 0x270D50

Divisor Catalog (5 of 60)

1 2 3 4 6

Collatz Trajectory (187 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.

2,559,312 1,279,656 639,828 319,914 159,957

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