388,328

2³ × 48541

Starting at 388,328, the Collatz iteration reaches 1 after 254 steps. The first transition is 194164; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 48541

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 728,130

Proper Divisor Sum 339,802

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #388319 ← → #388351

Radix Representation

Decimal	388328
Binary	1011110110011101000 (19 bits)
Octal	0o1366350
Hexadecimal	0x5ECE8

Divisor Catalog (8)

1 2 4 8 48,541 97,082 194,164 388,328

Collatz Trajectory (254 steps to reach 1)

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

388,328 194,164 97,082 48,541 145,624 72,812 36,406 18,203 54,610 27,305 81,916 40,958 20,479 61,438 30,719 92,158 46,079 138,238 69,119 207,358 103,679 311,038 155,519 466,558 233,279 699,838 349,919 1,049,758 524,879 1,574,638 787,319 2,361,958 1,180,979 3,542,938 1,771,469 5,314,408 2,657,204 1,328,602 664,301 1,992,904 996,452 498,226 249,113 747,340 373,670 186,835 560,506 280,253 840,760 420,380 210,190 105,095 315,286 157,643 472,930 236,465 709,396 354,698 177,349 532,048

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