154,326

2 × 3 × 17² × 89

154,326 has the prime decomposition 2 × 3 × 17^2 × 89. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17^2 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 331,560

Proper Divisor Sum 177,234

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #154321 ← → #154333

Radix Representation

Decimal	154326
Binary	100101101011010110 (18 bits)
Octal	0o455326
Hexadecimal	0x25AD6

Divisor Catalog (24)

1 2 3 6 17 34 51 89 102 178 267 289 534 578 867 1,513 1,734 3,026 4,539 9,078 25,721 51,442 77,163 154,326

Collatz Trajectory (170 steps to reach 1)

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

154,326 77,163 231,490 115,745 347,236 173,618 86,809 260,428 130,214 65,107 195,322 97,661 292,984 146,492 73,246 36,623 109,870 54,935 164,806 82,403 247,210 123,605 370,816 185,408 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164

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