λ
Harmonic Matrix

1,251,312

24 × 3 × 131 × 199
Abundant Even Composite

1,251,312 has digital root 6. The neighboring primes are 1251307 and 1251317; its proper-divisor sum differs from the starting integer by 770,976.

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Prime Factor Structure

Factorization String 2^4 × 3 × 131 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,273,600
Proper Divisor Sum 2,022,288
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1251307 ← → #1251317

Radix Representation

Decimal 1251312
Binary 100110001011111110000 (21 bits)
Octal 0o4613760
Hexadecimal 0x1317F0

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (111 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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