267,384

2³ × 3 × 13 × 857

267,384 has the prime decomposition 2^3 × 3 × 13 × 857. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 720,720

Proper Divisor Sum 453,336

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #267373 ← → #267389

Radix Representation

Decimal	267384
Binary	1000001010001111000 (19 bits)
Octal	0o1012170
Hexadecimal	0x41478

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 857 1,714 2,571 3,428 5,142 6,856 10,284 11,141 20,568 22,282 33,423 44,564 66,846 89,128 133,692 267,384

Collatz Trajectory (145 steps to reach 1)

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

267,384 133,692 66,846 33,423 100,270 50,135 150,406 75,203 225,610 112,805 338,416 169,208 84,604 42,302 21,151 63,454 31,727 95,182 47,591 142,774 71,387 214,162 107,081 321,244 160,622 80,311 240,934 120,467 361,402 180,701 542,104 271,052 135,526 67,763 203,290 101,645 304,936 152,468 76,234 38,117 114,352 57,176 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072

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