179,469

3³ × 17² × 23

Starting at 179,469, the Collatz iteration reaches 1 after 72 steps. The first transition is 538408; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 17^2 × 23

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 294,720

Proper Divisor Sum 115,251

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #179461 ← → #179471

Radix Representation

Decimal	179469
Binary	101011110100001101 (18 bits)
Octal	0o536415
Hexadecimal	0x2BD0D

Divisor Catalog (24)

1 3 9 17 23 27 51 69 153 207 289 391 459 621 867 1,173 2,601 3,519 6,647 7,803 10,557 19,941 59,823 179,469

Collatz Trajectory (72 steps to reach 1)

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

179,469 538,408 269,204 134,602 67,301 201,904 100,952 50,476 25,238 12,619 37,858 18,929 56,788 28,394 14,197 42,592 21,296 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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