6,906,211

13 × 31 × 17137

Starting at 6,906,211, the Collatz iteration reaches 1 after 191 steps. The first transition is 20718634; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 31 × 17137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,677,824

Proper Divisor Sum 771,613

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6906209 ← → #6906217

Radix Representation

Decimal	6906211
Binary	11010010110000101100011 (23 bits)
Octal	0o32260543
Hexadecimal	0x696163

Divisor Catalog (8)

1 13 31 403 17,137 222,781 531,247 6,906,211

Collatz Trajectory (191 steps to reach 1)

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

6,906,211 20,718,634 10,359,317 31,077,952 15,538,976 7,769,488 3,884,744 1,942,372 971,186 485,593 1,456,780 728,390 364,195 1,092,586 546,293 1,638,880 819,440 409,720 204,860 102,430 51,215 153,646 76,823 230,470 115,235 345,706 172,853 518,560 259,280 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306

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