201,375

3² × 5³ × 179

For 201,375, the 24 positive divisors have a total of 365,040. Removing 201,375 leaves 163,665, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 365,040

Proper Divisor Sum 163,665

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #201359 ← → #201389

Radix Representation

Decimal	201375
Binary	110001001010011111 (18 bits)
Octal	0o611237
Hexadecimal	0x3129F

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 179 225 375 537 895 1,125 1,611 2,685 4,475 8,055 13,425 22,375 40,275 67,125 201,375

Collatz Trajectory (142 steps to reach 1)

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

201,375 604,126 302,063 906,190 453,095 1,359,286 679,643 2,038,930 1,019,465 3,058,396 1,529,198 764,599 2,293,798 1,146,899 3,440,698 1,720,349 5,161,048 2,580,524 1,290,262 645,131 1,935,394 967,697 2,903,092 1,451,546 725,773 2,177,320 1,088,660 544,330 272,165 816,496 408,248 204,124 102,062 51,031 153,094 76,547 229,642 114,821 344,464 172,232 86,116 43,058 21,529 64,588 32,294 16,147 48,442 24,221 72,664 36,332 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988

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