200,013

3 × 11² × 19 × 29

For 200,013, the 24 positive divisors have a total of 319,200. Removing 200,013 leaves 119,187, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11^2 × 19 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 319,200

Proper Divisor Sum 119,187

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #200009 ← → #200017

Radix Representation

Decimal	200013
Binary	110000110101001101 (18 bits)
Octal	0o606515
Hexadecimal	0x30D4D

Divisor Catalog (24)

1 3 11 19 29 33 57 87 121 209 319 363 551 627 957 1,653 2,299 3,509 6,061 6,897 10,527 18,183 66,671 200,013

Collatz Trajectory (54 steps to reach 1)

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

200,013 600,040 300,020 150,010 75,005 225,016 112,508 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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