200,165

5 × 7² × 19 × 43

200,165 is odd and not a perfect square. Its factorization is 5 × 7^2 × 19 × 43 and its 24 divisors sum to 300,960.

Prime Factor Structure

Factorization String 5 × 7^2 × 19 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 300,960

Proper Divisor Sum 100,795

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #200159 ← → #200171

Radix Representation

Decimal	200165
Binary	110000110111100101 (18 bits)
Octal	0o606745
Hexadecimal	0x30DE5

Divisor Catalog (24)

1 5 7 19 35 43 49 95 133 215 245 301 665 817 931 1,505 2,107 4,085 4,655 5,719 10,535 28,595 40,033 200,165

Collatz Trajectory (235 steps to reach 1)

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

200,165 600,496 300,248 150,124 75,062 37,531 112,594 56,297 168,892 84,446 42,223 126,670 63,335 190,006 95,003 285,010 142,505 427,516 213,758 106,879 320,638 160,319 480,958 240,479 721,438 360,719 1,082,158 541,079 1,623,238 811,619 2,434,858 1,217,429 3,652,288 1,826,144 913,072 456,536 228,268 114,134 57,067 171,202 85,601 256,804 128,402 64,201 192,604 96,302 48,151 144,454 72,227 216,682 108,341 325,024 162,512 81,256 40,628 20,314 10,157 30,472 15,236 7,618

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