λ
Harmonic Matrix

2,513,286

2 × 32 × 139627
Abundant Even Composite

2,513,286 has digital root 9. The neighboring primes are 2513281 and 2513293; its proper-divisor sum differs from the starting integer by 418,920.

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Prime Factor Structure

Factorization String 2 × 3^2 × 139627
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,445,492
Proper Divisor Sum 2,932,206
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2513281 ← → #2513293

Radix Representation

Decimal 2513286
Binary 1001100101100110000110 (22 bits)
Octal 0o11454606
Hexadecimal 0x265986

Divisor Catalog (5 of 12)

1 2 3 6 9

Collatz Trajectory (112 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.

2,513,286 1,256,643 3,769,930 1,884,965 5,654,896

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