6,182,790

2 × 3 × 5 × 19 × 10847

Starting at 6,182,790, the Collatz iteration reaches 1 after 103 steps. The first transition is 3091395; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 10847

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,621,120

Proper Divisor Sum 9,438,330

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6182789 ← → #6182797

Radix Representation

Decimal	6182790
Binary	10111100101011110000110 (23 bits)
Octal	0o27453606
Hexadecimal	0x5E5786

Divisor Catalog (32)

1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 10,847 21,694 32,541 54,235 65,082 108,470 162,705 206,093 325,410 412,186 618,279 1,030,465 1,236,558 2,060,930 3,091,395 6,182,790

Collatz Trajectory (103 steps to reach 1)

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

6,182,790 3,091,395 9,274,186 4,637,093 13,911,280 6,955,640 3,477,820 1,738,910 869,455 2,608,366 1,304,183 3,912,550 1,956,275 5,868,826 2,934,413 8,803,240 4,401,620 2,200,810 1,100,405 3,301,216 1,650,608 825,304 412,652 206,326 103,163 309,490 154,745 464,236 232,118 116,059 348,178 174,089 522,268 261,134 130,567 391,702 195,851 587,554 293,777 881,332 440,666 220,333 661,000 330,500 165,250 82,625 247,876 123,938 61,969 185,908 92,954 46,477 139,432 69,716 34,858 17,429 52,288 26,144 13,072 6,536

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