λ
Sequence Observatory

8,192,999

8192999
Deficient Odd Prime

Starting at 8,192,999, the Collatz iteration reaches 1 after 199 steps. The first transition is 24578998; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8192999
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,193,000
Proper Divisor Sum 1
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8192983 ← → #8193001

Radix Representation

Decimal 8192999
Binary 11111010000001111100111 (23 bits)
Octal 0o37201747
Hexadecimal 0x7D03E7

Divisor Catalog (2)

Collatz Trajectory (199 steps to reach 1)

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

8,192,999 24,578,998 12,289,499 36,868,498 18,434,249 55,302,748 27,651,374 13,825,687 41,477,062 20,738,531 62,215,594 31,107,797 93,323,392 46,661,696 23,330,848 11,665,424 5,832,712 2,916,356 1,458,178 729,089 2,187,268 1,093,634 546,817 1,640,452 820,226 410,113 1,230,340 615,170 307,585 922,756 461,378 230,689 692,068 346,034 173,017 519,052 259,526 129,763 389,290 194,645 583,936 291,968 145,984 72,992 36,496 18,248 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666

More profiles

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