384,369

3 × 31 × 4133

Starting at 384,369, the Collatz iteration reaches 1 after 47 steps. The first transition is 1153108; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 4133

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 529,152

Proper Divisor Sum 144,783

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #384367 ← → #384383

Radix Representation

Decimal	384369
Binary	1011101110101110001 (19 bits)
Octal	0o1356561
Hexadecimal	0x5DD71

Divisor Catalog (8)

1 3 31 93 4,133 12,399 128,123 384,369

Collatz Trajectory (47 steps to reach 1)

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

384,369 1,153,108 576,554 288,277 864,832 432,416 216,208 108,104 54,052 27,026 13,513 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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