λ
Sigma Notebook

17,930

2 × 5 × 11 × 163
Deficient Even Composite

17,930 is even and not a perfect square. Its factorization is 2 × 5 × 11 × 163 and its 16 divisors sum to 35,424.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 35,424
Proper Divisor Sum 17,494
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #17929 ← → #17939

Radix Representation

Decimal 17930
Binary 100011000001010 (15 bits)
Octal 0o43012
Hexadecimal 0x460A

Divisor Catalog (16)

1 2 5 10 11 22 55 110 163 326 815 1,630 1,793 3,586 8,965 17,930

Collatz Trajectory (48 steps to reach 1)

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

17,930 8,965 26,896 13,448 6,724 3,362 1,681 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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