λ
Sigma Notebook

16,822

2 × 13 × 647
Deficient Even Composite

16,822 is even and not a perfect square. Its factorization is 2 × 13 × 647 and its 8 divisors sum to 27,216.

Prime Factor Structure

Factorization String 2 × 13 × 647
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 27,216
Proper Divisor Sum 10,394
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #16811 ← → #16823

Radix Representation

Decimal 16822
Binary 100000110110110 (15 bits)
Octal 0o40666
Hexadecimal 0x41B6

Divisor Catalog (8)

1 2 13 26 647 1,294 8,411 16,822

Collatz Trajectory (66 steps to reach 1)

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

16,822 8,411 25,234 12,617 37,852 18,926 9,463 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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