8,274,161

7 × 1182023

Starting at 8,274,161, the Collatz iteration reaches 1 after 199 steps. The first transition is 24822484; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1182023

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,456,192

Proper Divisor Sum 1,182,031

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8274157 ← → #8274229

Radix Representation

Decimal	8274161
Binary	11111100100000011110001 (23 bits)
Octal	0o37440361
Hexadecimal	0x7E40F1

Divisor Catalog (4)

1 7 1,182,023 8,274,161

Collatz Trajectory (199 steps to reach 1)

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

8,274,161 24,822,484 12,411,242 6,205,621 18,616,864 9,308,432 4,654,216 2,327,108 1,163,554 581,777 1,745,332 872,666 436,333 1,309,000 654,500 327,250 163,625 490,876 245,438 122,719 368,158 184,079 552,238 276,119 828,358 414,179 1,242,538 621,269 1,863,808 931,904 465,952 232,976 116,488 58,244 29,122 14,561 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927

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