6,986,949

3 × 17 × 136999

Starting at 6,986,949, the Collatz iteration reaches 1 after 191 steps. The first transition is 20960848; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 136999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,864,000

Proper Divisor Sum 2,877,051

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #6986911 ← → #6986977

Radix Representation

Decimal	6986949
Binary	11010101001110011000101 (23 bits)
Octal	0o32516305
Hexadecimal	0x6A9CC5

Divisor Catalog (8)

1 3 17 51 136,999 410,997 2,328,983 6,986,949

Collatz Trajectory (191 steps to reach 1)

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

6,986,949 20,960,848 10,480,424 5,240,212 2,620,106 1,310,053 3,930,160 1,965,080 982,540 491,270 245,635 736,906 368,453 1,105,360 552,680 276,340 138,170 69,085 207,256 103,628 51,814 25,907 77,722 38,861 116,584 58,292 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235

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