6,836,634

2 × 3² × 7 × 29 × 1871

Starting at 6,836,634, the Collatz iteration reaches 1 after 134 steps. The first transition is 3418317; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 29 × 1871

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,521,920

Proper Divisor Sum 10,685,286

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6836633 ← → #6836651

Radix Representation

Decimal	6836634
Binary	11010000101000110011010 (23 bits)
Octal	0o32050632
Hexadecimal	0x68519A

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1,218 1,827 1,871 3,654 3,742 5,613 11,226 13,097 16,839 26,194 33,678 39,291 54,259 78,582 108,518 117,873 162,777 235,746 325,554 379,813 488,331 759,626 976,662 1,139,439 2,278,878 3,418,317 6,836,634

Collatz Trajectory (134 steps to reach 1)

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

6,836,634 3,418,317 10,254,952 5,127,476 2,563,738 1,281,869 3,845,608 1,922,804 961,402 480,701 1,442,104 721,052 360,526 180,263 540,790 270,395 811,186 405,593 1,216,780 608,390 304,195 912,586 456,293 1,368,880 684,440 342,220 171,110 85,555 256,666 128,333 385,000 192,500 96,250 48,125 144,376 72,188 36,094 18,047 54,142 27,071 81,214 40,607 121,822 60,911 182,734 91,367 274,102 137,051 411,154 205,577 616,732 308,366 154,183 462,550 231,275 693,826 346,913 1,040,740 520,370 260,185

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