λ
Sequence Observatory

8,196,605

5 × 787 × 2083
Deficient Odd Composite

Starting at 8,196,605, the Collatz iteration reaches 1 after 186 steps. The first transition is 24589816; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 787 × 2083
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,853,152
Proper Divisor Sum 1,656,547
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8196599 ← → #8196607

Radix Representation

Decimal 8196605
Binary 11111010001000111111101 (23 bits)
Octal 0o37210775
Hexadecimal 0x7D11FD

Divisor Catalog (8)

1 5 787 2,083 3,935 10,415 1,639,321 8,196,605

Collatz Trajectory (186 steps to reach 1)

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

8,196,605 24,589,816 12,294,908 6,147,454 3,073,727 9,221,182 4,610,591 13,831,774 6,915,887 20,747,662 10,373,831 31,121,494 15,560,747 46,682,242 23,341,121 70,023,364 35,011,682 17,505,841 52,517,524 26,258,762 13,129,381 39,388,144 19,694,072 9,847,036 4,923,518 2,461,759 7,385,278 3,692,639 11,077,918 5,538,959 16,616,878 8,308,439 24,925,318 12,462,659 37,387,978 18,693,989 56,081,968 28,040,984 14,020,492 7,010,246 3,505,123 10,515,370 5,257,685 15,773,056 7,886,528 3,943,264 1,971,632 985,816 492,908 246,454 123,227 369,682 184,841 554,524 277,262 138,631 415,894 207,947 623,842 311,921

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