8,146,135

5 × 43 × 37889

Starting at 8,146,135, the Collatz iteration reaches 1 after 230 steps. The first transition is 24438406; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 43 × 37889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,002,960

Proper Divisor Sum 1,856,825

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8146133 ← → #8146169

Radix Representation

Decimal	8146135
Binary	11111000100110011010111 (23 bits)
Octal	0o37046327
Hexadecimal	0x7C4CD7

Divisor Catalog (8)

1 5 43 215 37,889 189,445 1,629,227 8,146,135

Collatz Trajectory (230 steps to reach 1)

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

8,146,135 24,438,406 12,219,203 36,657,610 18,328,805 54,986,416 27,493,208 13,746,604 6,873,302 3,436,651 10,309,954 5,154,977 15,464,932 7,732,466 3,866,233 11,598,700 5,799,350 2,899,675 8,699,026 4,349,513 13,048,540 6,524,270 3,262,135 9,786,406 4,893,203 14,679,610 7,339,805 22,019,416 11,009,708 5,504,854 2,752,427 8,257,282 4,128,641 12,385,924 6,192,962 3,096,481 9,289,444 4,644,722 2,322,361 6,967,084 3,483,542 1,741,771 5,225,314 2,612,657 7,837,972 3,918,986 1,959,493 5,878,480 2,939,240 1,469,620 734,810 367,405 1,102,216 551,108 275,554 137,777 413,332 206,666 103,333 310,000

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