8,199,567

3² × 911063

Starting at 8,199,567, the Collatz iteration reaches 1 after 199 steps. The first transition is 24598702; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 911063

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 11,843,832

Proper Divisor Sum 3,644,265

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8199563 ← → #8199571

Radix Representation

Decimal	8199567
Binary	11111010001110110001111 (23 bits)
Octal	0o37216617
Hexadecimal	0x7D1D8F

Divisor Catalog (6)

1 3 9 911,063 2,733,189 8,199,567

Collatz Trajectory (199 steps to reach 1)

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

8,199,567 24,598,702 12,299,351 36,898,054 18,449,027 55,347,082 27,673,541 83,020,624 41,510,312 20,755,156 10,377,578 5,188,789 15,566,368 7,783,184 3,891,592 1,945,796 972,898 486,449 1,459,348 729,674 364,837 1,094,512 547,256 273,628 136,814 68,407 205,222 102,611 307,834 153,917 461,752 230,876 115,438 57,719 173,158 86,579 259,738 129,869 389,608 194,804 97,402 48,701 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669

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