6,906,368

2⁹ × 7 × 41 × 47

Starting at 6,906,368, the Collatz iteration reaches 1 after 85 steps. The first transition is 3453184; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 7 × 41 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 16,498,944

Proper Divisor Sum 9,592,576

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6906343 ← → #6906401

Radix Representation

Decimal	6906368
Binary	11010010110001000000000 (23 bits)
Octal	0o32261000
Hexadecimal	0x696200

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 28 32 41 47 56 64 82 94 112 128 164 188 224 256 287 328 329 376 448 512 574 656 658 752 896 1,148 1,312 1,316 1,504 1,792 1,927 2,296 2,624 2,632 3,008 3,584 3,854 4,592 5,248 5,264 6,016 7,708 9,184 10,496 10,528 12,032 13,489 15,416 18,368 20,992 21,056 24,064 26,978

Collatz Trajectory (85 steps to reach 1)

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

6,906,368 3,453,184 1,726,592 863,296 431,648 215,824 107,912 53,956 26,978 13,489 40,468 20,234 10,117 30,352 15,176 7,588 3,794 1,897 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205

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