1,262,166

2 × 3 × 210361

Starting at 1,262,166, the Collatz iteration reaches 1 after 217 steps. The first transition is 631083; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 210361

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,524,344

Proper Divisor Sum 1,262,178

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1262147 ← → #1262203

Radix Representation

Decimal	1262166
Binary	100110100001001010110 (21 bits)
Octal	0o4641126
Hexadecimal	0x134256

Divisor Catalog (8)

1 2 3 6 210,361 420,722 631,083 1,262,166

Collatz Trajectory (217 steps to reach 1)

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

1,262,166 631,083 1,893,250 946,625 2,839,876 1,419,938 709,969 2,129,908 1,064,954 532,477 1,597,432 798,716 399,358 199,679 599,038 299,519 898,558 449,279 1,347,838 673,919 2,021,758 1,010,879 3,032,638 1,516,319 4,548,958 2,274,479 6,823,438 3,411,719 10,235,158 5,117,579 15,352,738 7,676,369 23,029,108 11,514,554 5,757,277 17,271,832 8,635,916 4,317,958 2,158,979 6,476,938 3,238,469 9,715,408 4,857,704 2,428,852 1,214,426 607,213 1,821,640 910,820 455,410 227,705 683,116 341,558 170,779 512,338 256,169 768,508 384,254 192,127 576,382 288,191

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