λ
Harmonic Matrix

3,124,908

22 × 32 × 61 × 1423
Abundant Even Composite

3,124,908 has digital root 9. The neighboring primes are 3124903 and 3124943; its proper-divisor sum differs from the starting integer by 1,784,392.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 61 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,034,208
Proper Divisor Sum 4,909,300
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3124903 ← → #3124943

Radix Representation

Decimal 3124908
Binary 1011111010111010101100 (22 bits)
Octal 0o13727254
Hexadecimal 0x2FAEAC

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (102 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.

3,124,908 1,562,454 781,227 2,343,682 1,171,841

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