240,165

3⁴ × 5 × 593

For 240,165, the 20 positive divisors have a total of 431,244. Removing 240,165 leaves 191,079, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 5 × 593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 431,244

Proper Divisor Sum 191,079

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #240151 ← → #240169

Radix Representation

Decimal	240165
Binary	111010101000100101 (18 bits)
Octal	0o725045
Hexadecimal	0x3AA25

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 593 1,779 2,965 5,337 8,895 16,011 26,685 48,033 80,055 240,165

Collatz Trajectory (75 steps to reach 1)

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

240,165 720,496 360,248 180,124 90,062 45,031 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472 128,236 64,118 32,059 96,178 48,089 144,268 72,134 36,067 108,202 54,101 162,304 81,152 40,576 20,288 10,144 5,072 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44

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