203,164

2² × 13 × 3907

203,164 factors as 2^2 × 13 × 3907. Its 12 positive divisors give a proper-divisor sum of 179,820, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 3907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 382,984

Proper Divisor Sum 179,820

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #203141 ← → #203173

Radix Representation

Decimal	203164
Binary	110001100110011100 (18 bits)
Octal	0o614634
Hexadecimal	0x3199C

Divisor Catalog (12)

1 2 4 13 26 52 3,907 7,814 15,628 50,791 101,582 203,164

Collatz Trajectory (204 steps to reach 1)

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

203,164 101,582 50,791 152,374 76,187 228,562 114,281 342,844 171,422 85,711 257,134 128,567 385,702 192,851 578,554 289,277 867,832 433,916 216,958 108,479 325,438 162,719 488,158 244,079 732,238 366,119 1,098,358 549,179 1,647,538 823,769 2,471,308 1,235,654 617,827 1,853,482 926,741 2,780,224 1,390,112 695,056 347,528 173,764 86,882 43,441 130,324 65,162 32,581 97,744 48,872 24,436 12,218 6,109 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578 1,289

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