260,646

2 × 3 × 43441

Starting at 260,646, the Collatz iteration reaches 1 after 225 steps. The first transition is 130323; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 43441

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 521,304

Proper Divisor Sum 260,658

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #260629 ← → #260647

Radix Representation

Decimal	260646
Binary	111111101000100110 (18 bits)
Octal	0o775046
Hexadecimal	0x3FA26

Divisor Catalog (8)

1 2 3 6 43,441 86,882 130,323 260,646

Collatz Trajectory (225 steps to reach 1)

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

260,646 130,323 390,970 195,485 586,456 293,228 146,614 73,307 219,922 109,961 329,884 164,942 82,471 247,414 123,707 371,122 185,561 556,684 278,342 139,171 417,514 208,757 626,272 313,136 156,568 78,284 39,142 19,571 58,714 29,357 88,072 44,036 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934

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