λ
Harmonic Matrix

13,908

22 × 3 × 19 × 61
Abundant Even Composite

13,908 has digital root 3. The neighboring primes are 13907 and 13913; its proper-divisor sum differs from the starting integer by 6,904.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 34,720
Proper Divisor Sum 20,812
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #13907 ← → #13913

Radix Representation

Decimal 13908
Binary 11011001010100 (14 bits)
Octal 0o33124
Hexadecimal 0x3654

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 366 732 1,159 2,318 3,477 4,636 6,954 13,908

Collatz Trajectory (32 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

13,908 6,954 3,477 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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