6,828,233

163² × 257

Starting at 6,828,233, the Collatz iteration reaches 1 after 85 steps. The first transition is 20484700; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 163^2 × 257

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,897,114

Proper Divisor Sum 68,881

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6828197 ← → #6828259

Radix Representation

Decimal	6828233
Binary	11010000011000011001001 (23 bits)
Octal	0o32030311
Hexadecimal	0x6830C9

Divisor Catalog (6)

1 163 257 26,569 41,891 6,828,233

Collatz Trajectory (85 steps to reach 1)

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

6,828,233 20,484,700 10,242,350 5,121,175 15,363,526 7,681,763 23,045,290 11,522,645 34,567,936 17,283,968 8,641,984 4,320,992 2,160,496 1,080,248 540,124 270,062 135,031 405,094 202,547 607,642 303,821 911,464 455,732 227,866 113,933 341,800 170,900 85,450 42,725 128,176 64,088 32,044 16,022 8,011 24,034 12,017 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202

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