384,131

11 × 47 × 743

Starting at 384,131, the Collatz iteration reaches 1 after 86 steps. The first transition is 1152394; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 47 × 743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 428,544

Proper Divisor Sum 44,413

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #384113 ← → #384133

Radix Representation

Decimal	384131
Binary	1011101110010000011 (19 bits)
Octal	0o1356203
Hexadecimal	0x5DC83

Divisor Catalog (8)

1 11 47 517 743 8,173 34,921 384,131

Collatz Trajectory (86 steps to reach 1)

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

384,131 1,152,394 576,197 1,728,592 864,296 432,148 216,074 108,037 324,112 162,056 81,028 40,514 20,257 60,772 30,386 15,193 45,580 22,790 11,395 34,186 17,093 51,280 25,640 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410

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