21,846

2 × 3 × 11 × 331

21,846 has the prime decomposition 2 × 3 × 11 × 331. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 47,808

Proper Divisor Sum 25,962

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #21841 ← → #21851

Radix Representation

Decimal	21846
Binary	101010101010110 (15 bits)
Octal	0o52526
Hexadecimal	0x5556

Divisor Catalog (16)

1 2 3 6 11 22 33 66 331 662 993 1,986 3,641 7,282 10,923 21,846

Collatz Trajectory (56 steps to reach 1)

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

21,846 10,923 32,770 16,385 49,156 24,578 12,289 36,868 18,434 9,217 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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