259,414

2 × 129707

Starting at 259,414, the Collatz iteration reaches 1 after 194 steps. The first transition is 129707; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 129707

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 389,124

Proper Divisor Sum 129,710

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #259411 ← → #259421

Radix Representation

Decimal	259414
Binary	111111010101010110 (18 bits)
Octal	0o772526
Hexadecimal	0x3F556

Divisor Catalog (4)

1 2 129,707 259,414

Collatz Trajectory (194 steps to reach 1)

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

259,414 129,707 389,122 194,561 583,684 291,842 145,921 437,764 218,882 109,441 328,324 164,162 82,081 246,244 123,122 61,561 184,684 92,342 46,171 138,514 69,257 207,772 103,886 51,943 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758 221,879 665,638 332,819 998,458 499,229 1,497,688 748,844 374,422 187,211 561,634 280,817 842,452 421,226 210,613 631,840 315,920 157,960 78,980 39,490 19,745 59,236

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