λ
Harmonic Matrix

3,125,578

2 × 409 × 3821
Deficient Even Composite

3,125,578 has digital root 4. The neighboring primes are 3125561 and 3125587; its proper-divisor sum differs from the starting integer by -1,550,096.

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Prime Factor Structure

Factorization String 2 × 409 × 3821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,701,060
Proper Divisor Sum 1,575,482
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3125561 ← → #3125587

Radix Representation

Decimal 3125578
Binary 1011111011000101001010 (22 bits)
Octal 0o13730512
Hexadecimal 0x2FB14A

Divisor Catalog (5 of 8)

Collatz Trajectory (257 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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