6,842,484

2² × 3² × 11 × 37 × 467

Starting at 6,842,484, the Collatz iteration reaches 1 after 222 steps. The first transition is 3421242; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 37 × 467

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 19,420,128

Proper Divisor Sum 12,577,644

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6842467 ← → #6842497

Radix Representation

Decimal	6842484
Binary	11010000110100001110100 (23 bits)
Octal	0o32064164
Hexadecimal	0x686874

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 467 666 814 934 1,221 1,332 1,401 1,628 1,868 2,442 2,802 3,663 4,203 4,884 5,137 5,604 7,326 8,406 10,274 14,652 15,411 16,812 17,279 20,548 30,822 34,558 46,233 51,837 61,644 69,116 92,466 103,674 155,511 184,932

Collatz Trajectory (222 steps to reach 1)

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

6,842,484 3,421,242 1,710,621 5,131,864 2,565,932 1,282,966 641,483 1,924,450 962,225 2,886,676 1,443,338 721,669 2,165,008 1,082,504 541,252 270,626 135,313 405,940 202,970 101,485 304,456 152,228 76,114 38,057 114,172 57,086 28,543 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722 22,861 68,584 34,292 17,146 8,573 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235

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