6,198,231

3 × 13 × 103 × 1543

Starting at 6,198,231, the Collatz iteration reaches 1 after 165 steps. The first transition is 18594694; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 103 × 1543

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,992,256

Proper Divisor Sum 2,794,025

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6198223 ← → #6198239

Radix Representation

Decimal	6198231
Binary	10111101001001111010111 (23 bits)
Octal	0o27511727
Hexadecimal	0x5E93D7

Divisor Catalog (16)

1 3 13 39 103 309 1,339 1,543 4,017 4,629 20,059 60,177 158,929 476,787 2,066,077 6,198,231

Collatz Trajectory (165 steps to reach 1)

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

6,198,231 18,594,694 9,297,347 27,892,042 13,946,021 41,838,064 20,919,032 10,459,516 5,229,758 2,614,879 7,844,638 3,922,319 11,766,958 5,883,479 17,650,438 8,825,219 26,475,658 13,237,829 39,713,488 19,856,744 9,928,372 4,964,186 2,482,093 7,446,280 3,723,140 1,861,570 930,785 2,792,356 1,396,178 698,089 2,094,268 1,047,134 523,567 1,570,702 785,351 2,356,054 1,178,027 3,534,082 1,767,041 5,301,124 2,650,562 1,325,281 3,975,844 1,987,922 993,961 2,981,884 1,490,942 745,471 2,236,414 1,118,207 3,354,622 1,677,311 5,031,934 2,515,967 7,547,902 3,773,951 11,321,854 5,660,927 16,982,782 8,491,391

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