6,942,408

2³ × 3 × 11 × 26297

Starting at 6,942,408, the Collatz iteration reaches 1 after 191 steps. The first transition is 3471204; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 26297

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,934,560

Proper Divisor Sum 11,992,152

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6942401 ← → #6942413

Radix Representation

Decimal	6942408
Binary	11010011110111011001000 (23 bits)
Octal	0o32367310
Hexadecimal	0x69EEC8

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 26,297 52,594 78,891 105,188 157,782 210,376 289,267 315,564 578,534 631,128 867,801 1,157,068 1,735,602 2,314,136 3,471,204 6,942,408

Collatz Trajectory (191 steps to reach 1)

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

6,942,408 3,471,204 1,735,602 867,801 2,603,404 1,301,702 650,851 1,952,554 976,277 2,928,832 1,464,416 732,208 366,104 183,052 91,526 45,763 137,290 68,645 205,936 102,968 51,484 25,742 12,871 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225

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