λ
Sigma Notebook

25,838

2 × 12919
Deficient Even Composite

25,838 is even and not a perfect square. Its factorization is 2 × 12919 and its 4 divisors sum to 38,760.

Prime Factor Structure

Factorization String 2 × 12919
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 38,760
Proper Divisor Sum 12,922
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #25819 ← → #25841

Radix Representation

Decimal 25838
Binary 110010011101110 (15 bits)
Octal 0o62356
Hexadecimal 0x64EE

Divisor Catalog (4)

1 2 12,919 25,838

Collatz Trajectory (77 steps to reach 1)

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

25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

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