6,829,026

2 × 3 × 1138171

Starting at 6,829,026, the Collatz iteration reaches 1 after 178 steps. The first transition is 3414513; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1138171

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,658,064

Proper Divisor Sum 6,829,038

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6828989 ← → #6829033

Radix Representation

Decimal	6829026
Binary	11010000011001111100010 (23 bits)
Octal	0o32031742
Hexadecimal	0x6833E2

Divisor Catalog (8)

1 2 3 6 1,138,171 2,276,342 3,414,513 6,829,026

Collatz Trajectory (178 steps to reach 1)

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

6,829,026 3,414,513 10,243,540 5,121,770 2,560,885 7,682,656 3,841,328 1,920,664 960,332 480,166 240,083 720,250 360,125 1,080,376 540,188 270,094 135,047 405,142 202,571 607,714 303,857 911,572 455,786 227,893 683,680 341,840 170,920 85,460 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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