6,846,438

2 × 3 × 137 × 8329

Starting at 6,846,438, the Collatz iteration reaches 1 after 222 steps. The first transition is 3423219; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 137 × 8329

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,794,480

Proper Divisor Sum 6,948,042

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6846431 ← → #6846439

Radix Representation

Decimal	6846438
Binary	11010000111011111100110 (23 bits)
Octal	0o32073746
Hexadecimal	0x6877E6

Divisor Catalog (16)

1 2 3 6 137 274 411 822 8,329 16,658 24,987 49,974 1,141,073 2,282,146 3,423,219 6,846,438

Collatz Trajectory (222 steps to reach 1)

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

6,846,438 3,423,219 10,269,658 5,134,829 15,404,488 7,702,244 3,851,122 1,925,561 5,776,684 2,888,342 1,444,171 4,332,514 2,166,257 6,498,772 3,249,386 1,624,693 4,874,080 2,437,040 1,218,520 609,260 304,630 152,315 456,946 228,473 685,420 342,710 171,355 514,066 257,033 771,100 385,550 192,775 578,326 289,163 867,490 433,745 1,301,236 650,618 325,309 975,928 487,964 243,982 121,991 365,974 182,987 548,962 274,481 823,444 411,722 205,861 617,584 308,792 154,396 77,198 38,599 115,798 57,899 173,698 86,849 260,548

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