133,443

3² × 14827

133,443 factors as 3^2 × 14827. Its 6 positive divisors give a proper-divisor sum of 59,321, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 3^2 × 14827

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 192,764

Proper Divisor Sum 59,321

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #133439 ← → #133447

Radix Representation

Decimal	133443
Binary	100000100101000011 (18 bits)
Octal	0o404503
Hexadecimal	0x20943

Divisor Catalog (6)

1 3 9 14,827 44,481 133,443

Collatz Trajectory (237 steps to reach 1)

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

133,443 400,330 200,165 600,496 300,248 150,124 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

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