6,849,338

2 × 167 × 20507

Starting at 6,849,338, the Collatz iteration reaches 1 after 77 steps. The first transition is 3424669; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 167 × 20507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,336,032

Proper Divisor Sum 3,486,694

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6849313 ← → #6849347

Radix Representation

Decimal	6849338
Binary	11010001000001100111010 (23 bits)
Octal	0o32101472
Hexadecimal	0x68833A

Divisor Catalog (8)

1 2 167 334 20,507 41,014 3,424,669 6,849,338

Collatz Trajectory (77 steps to reach 1)

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

6,849,338 3,424,669 10,274,008 5,137,004 2,568,502 1,284,251 3,852,754 1,926,377 5,779,132 2,889,566 1,444,783 4,334,350 2,167,175 6,501,526 3,250,763 9,752,290 4,876,145 14,628,436 7,314,218 3,657,109 10,971,328 5,485,664 2,742,832 1,371,416 685,708 342,854 171,427 514,282 257,141 771,424 385,712 192,856 96,428 48,214 24,107 72,322 36,161 108,484 54,242 27,121 81,364 40,682 20,341 61,024 30,512 15,256 7,628 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208

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