λ
Harmonic Matrix

24,126

2 × 3 × 4021
Abundant Even Composite

24,126 has digital root 6. The neighboring primes are 24121 and 24133; its proper-divisor sum differs from the starting integer by 12.

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Prime Factor Structure

Factorization String 2 × 3 × 4021
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 48,264
Proper Divisor Sum 24,138
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #24121 ← → #24133

Radix Representation

Decimal 24126
Binary 101111000111110 (15 bits)
Octal 0o57076
Hexadecimal 0x5E3E

Divisor Catalog (5 of 8)

1 2 3 6 4,021

Collatz Trajectory (144 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.

24,126 12,063 36,190 18,095 54,286

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