6,181,415

5 × 401 × 3083

Starting at 6,181,415, the Collatz iteration reaches 1 after 209 steps. The first transition is 18544246; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 401 × 3083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,438,608

Proper Divisor Sum 1,257,193

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6181391 ← → #6181423

Radix Representation

Decimal	6181415
Binary	10111100101001000100111 (23 bits)
Octal	0o27451047
Hexadecimal	0x5E5227

Divisor Catalog (8)

1 5 401 2,005 3,083 15,415 1,236,283 6,181,415

Collatz Trajectory (209 steps to reach 1)

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

6,181,415 18,544,246 9,272,123 27,816,370 13,908,185 41,724,556 20,862,278 10,431,139 31,293,418 15,646,709 46,940,128 23,470,064 11,735,032 5,867,516 2,933,758 1,466,879 4,400,638 2,200,319 6,600,958 3,300,479 9,901,438 4,950,719 14,852,158 7,426,079 22,278,238 11,139,119 33,417,358 16,708,679 50,126,038 25,063,019 75,189,058 37,594,529 112,783,588 56,391,794 28,195,897 84,587,692 42,293,846 21,146,923 63,440,770 31,720,385 95,161,156 47,580,578 23,790,289 71,370,868 35,685,434 17,842,717 53,528,152 26,764,076 13,382,038 6,691,019 20,073,058 10,036,529 30,109,588 15,054,794 7,527,397 22,582,192 11,291,096 5,645,548 2,822,774 1,411,387

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