381,296

2⁴ × 23831

Starting at 381,296, the Collatz iteration reaches 1 after 148 steps. The first transition is 190648; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 23831

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 738,792

Proper Divisor Sum 357,496

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #381289 ← → #381301

Radix Representation

Decimal	381296
Binary	1011101000101110000 (19 bits)
Octal	0o1350560
Hexadecimal	0x5D170

Divisor Catalog (10)

1 2 4 8 16 23,831 47,662 95,324 190,648 381,296

Collatz Trajectory (148 steps to reach 1)

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

381,296 190,648 95,324 47,662 23,831 71,494 35,747 107,242 53,621 160,864 80,432 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412

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