288,944

2⁴ × 18059

Starting at 288,944, the Collatz iteration reaches 1 after 189 steps. The first transition is 144472; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 18059

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 559,860

Proper Divisor Sum 270,916

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #288931 ← → #288947

Radix Representation

Decimal	288944
Binary	1000110100010110000 (19 bits)
Octal	0o1064260
Hexadecimal	0x468B0

Divisor Catalog (10)

1 2 4 8 16 18,059 36,118 72,236 144,472 288,944

Collatz Trajectory (189 steps to reach 1)

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

288,944 144,472 72,236 36,118 18,059 54,178 27,089 81,268 40,634 20,317 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838

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