8,193,804

2² × 3 × 743 × 919

Starting at 8,193,804, the Collatz iteration reaches 1 after 230 steps. The first transition is 4096902; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 743 × 919

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,165,440

Proper Divisor Sum 10,971,636

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8193803 ← → #8193817

Radix Representation

Decimal	8193804
Binary	11111010000011100001100 (23 bits)
Octal	0o37203414
Hexadecimal	0x7D070C

Divisor Catalog (24)

1 2 3 4 6 12 743 919 1,486 1,838 2,229 2,757 2,972 3,676 4,458 5,514 8,916 11,028 682,817 1,365,634 2,048,451 2,731,268 4,096,902 8,193,804

Collatz Trajectory (230 steps to reach 1)

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

8,193,804 4,096,902 2,048,451 6,145,354 3,072,677 9,218,032 4,609,016 2,304,508 1,152,254 576,127 1,728,382 864,191 2,592,574 1,296,287 3,888,862 1,944,431 5,833,294 2,916,647 8,749,942 4,374,971 13,124,914 6,562,457 19,687,372 9,843,686 4,921,843 14,765,530 7,382,765 22,148,296 11,074,148 5,537,074 2,768,537 8,305,612 4,152,806 2,076,403 6,229,210 3,114,605 9,343,816 4,671,908 2,335,954 1,167,977 3,503,932 1,751,966 875,983 2,627,950 1,313,975 3,941,926 1,970,963 5,912,890 2,956,445 8,869,336 4,434,668 2,217,334 1,108,667 3,326,002 1,663,001 4,989,004 2,494,502 1,247,251 3,741,754 1,870,877

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