8,338,194

2 × 3³ × 17 × 31 × 293

Starting at 8,338,194, the Collatz iteration reaches 1 after 212 steps. The first transition is 4169097; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 31 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 20,321,280

Proper Divisor Sum 11,983,086

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8338181 ← → #8338199

Radix Representation

Decimal	8338194
Binary	11111110011101100010010 (23 bits)
Octal	0o37635422
Hexadecimal	0x7F3B12

Divisor Catalog (60 of 64)

1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 293 306 459 527 558 586 837 879 918 1,054 1,581 1,674 1,758 2,637 3,162 4,743 4,981 5,274 7,911 9,083 9,486 9,962 14,229 14,943 15,822 18,166 27,249 28,458 29,886 44,829 54,498 81,747 89,658 134,487 154,411 163,494 245,241 268,974 308,822 463,233 490,482 926,466

Collatz Trajectory (212 steps to reach 1)

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

8,338,194 4,169,097 12,507,292 6,253,646 3,126,823 9,380,470 4,690,235 14,070,706 7,035,353 21,106,060 10,553,030 5,276,515 15,829,546 7,914,773 23,744,320 11,872,160 5,936,080 2,968,040 1,484,020 742,010 371,005 1,113,016 556,508 278,254 139,127 417,382 208,691 626,074 313,037 939,112 469,556 234,778 117,389 352,168 176,084 88,042 44,021 132,064 66,032 33,016 16,508 8,254 4,127 12,382 6,191 18,574 9,287 27,862 13,931 41,794 20,897 62,692 31,346 15,673 47,020 23,510 11,755 35,266 17,633 52,900

← Previous Integer #8,338,193 Browse Full Index Next Integer #8,338,195 →