λ
Harmonic Matrix

126,684

22 × 34 × 17 × 23
Abundant Even Composite

126,684 has digital root 9. The neighboring primes are 126683 and 126691; its proper-divisor sum differs from the starting integer by 112,536.

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Prime Factor Structure

Factorization String 2^2 × 3^4 × 17 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 365,904
Proper Divisor Sum 239,220
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #126683 ← → #126691

Radix Representation

Decimal 126684
Binary 11110111011011100 (17 bits)
Octal 0o367334
Hexadecimal 0x1EEDC

Divisor Catalog (5 of 60)

1 2 3 4 6

Collatz Trajectory (105 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.

126,684 63,342 31,671 95,014 47,507

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