8,697,843

3² × 7² × 11² × 163

Starting at 8,697,843, the Collatz iteration reaches 1 after 106 steps. The first transition is 26093530; the starting value is odd with 54 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11^2 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 16,162,692

Proper Divisor Sum 7,464,849

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8697833 ← → #8697851

Radix Representation

Decimal	8697843
Binary	100001001011011111110011 (24 bits)
Octal	0o41133763
Hexadecimal	0x84B7F3

Divisor Catalog (54)

1 3 7 9 11 21 33 49 63 77 99 121 147 163 231 363 441 489 539 693 847 1,089 1,141 1,467 1,617 1,793 2,541 3,423 4,851 5,379 5,929 7,623 7,987 10,269 12,551 16,137 17,787 19,723 23,961 37,653 53,361 59,169 71,883 87,857 112,959 138,061 177,507 263,571 414,183 790,713 966,427 1,242,549 2,899,281 8,697,843

Collatz Trajectory (106 steps to reach 1)

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

8,697,843 26,093,530 13,046,765 39,140,296 19,570,148 9,785,074 4,892,537 14,677,612 7,338,806 3,669,403 11,008,210 5,504,105 16,512,316 8,256,158 4,128,079 12,384,238 6,192,119 18,576,358 9,288,179 27,864,538 13,932,269 41,796,808 20,898,404 10,449,202 5,224,601 15,673,804 7,836,902 3,918,451 11,755,354 5,877,677 17,633,032 8,816,516 4,408,258 2,204,129 6,612,388 3,306,194 1,653,097 4,959,292 2,479,646 1,239,823 3,719,470 1,859,735 5,579,206 2,789,603 8,368,810 4,184,405 12,553,216 6,276,608 3,138,304 1,569,152 784,576 392,288 196,144 98,072 49,036 24,518 12,259 36,778 18,389 55,168

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