λ
Sequence Observatory

8,682,966

2 × 32 × 482387
Abundant Even Composite

Starting at 8,682,966, the Collatz iteration reaches 1 after 212 steps. The first transition is 4341483; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 482387
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,813,132
Proper Divisor Sum 10,130,166
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8682959 ← → #8682991

Radix Representation

Decimal 8682966
Binary 100001000111110111010110 (24 bits)
Octal 0o41076726
Hexadecimal 0x847DD6

Divisor Catalog (12)

1 2 3 6 9 18 482,387 964,774 1,447,161 2,894,322 4,341,483 8,682,966

Collatz Trajectory (212 steps to reach 1)

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

8,682,966 4,341,483 13,024,450 6,512,225 19,536,676 9,768,338 4,884,169 14,652,508 7,326,254 3,663,127 10,989,382 5,494,691 16,484,074 8,242,037 24,726,112 12,363,056 6,181,528 3,090,764 1,545,382 772,691 2,318,074 1,159,037 3,477,112 1,738,556 869,278 434,639 1,303,918 651,959 1,955,878 977,939 2,933,818 1,466,909 4,400,728 2,200,364 1,100,182 550,091 1,650,274 825,137 2,475,412 1,237,706 618,853 1,856,560 928,280 464,140 232,070 116,035 348,106 174,053 522,160 261,080 130,540 65,270 32,635 97,906 48,953 146,860 73,430 36,715 110,146 55,073

More profiles

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