1,260,006

2 × 3 × 11 × 17 × 1123

Starting at 1,260,006, the Collatz iteration reaches 1 after 248 steps. The first transition is 630003; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17 × 1123

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,913,408

Proper Divisor Sum 1,653,402

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1259983 ← → #1260011

Radix Representation

Decimal	1260006
Binary	100110011100111100110 (21 bits)
Octal	0o4634746
Hexadecimal	0x1339E6

Divisor Catalog (32)

1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1,122 1,123 2,246 3,369 6,738 12,353 19,091 24,706 37,059 38,182 57,273 74,118 114,546 210,001 420,002 630,003 1,260,006

Collatz Trajectory (248 steps to reach 1)

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

1,260,006 630,003 1,890,010 945,005 2,835,016 1,417,508 708,754 354,377 1,063,132 531,566 265,783 797,350 398,675 1,196,026 598,013 1,794,040 897,020 448,510 224,255 672,766 336,383 1,009,150 504,575 1,513,726 756,863 2,270,590 1,135,295 3,405,886 1,702,943 5,108,830 2,554,415 7,663,246 3,831,623 11,494,870 5,747,435 17,242,306 8,621,153 25,863,460 12,931,730 6,465,865 19,397,596 9,698,798 4,849,399 14,548,198 7,274,099 21,822,298 10,911,149 32,733,448 16,366,724 8,183,362 4,091,681 12,275,044 6,137,522 3,068,761 9,206,284 4,603,142 2,301,571 6,904,714 3,452,357 10,357,072

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