λ
Harmonic Matrix

3,149,120

26 × 5 × 13 × 757
Abundant Even Composite

3,149,120 has digital root 2. The neighboring primes are 3149077 and 3149123; its proper-divisor sum differs from the starting integer by 1,788,104.

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Prime Factor Structure

Factorization String 2^6 × 5 × 13 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 8,086,344
Proper Divisor Sum 4,937,224
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3149077 ← → #3149123

Radix Representation

Decimal 3149120
Binary 1100000000110101000000 (22 bits)
Octal 0o14006500
Hexadecimal 0x300D40

Divisor Catalog (5 of 56)

1 2 4 5 8

Collatz Trajectory (164 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.

3,149,120 1,574,560 787,280 393,640 196,820

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