λ
Sequence Observatory

8,112,484

22 × 2028121
Deficient Even Composite

Starting at 8,112,484, the Collatz iteration reaches 1 after 85 steps. The first transition is 4056242; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 2028121
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,196,854
Proper Divisor Sum 6,084,370
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8112473 ← → #8112493

Radix Representation

Decimal 8112484
Binary 11110111100100101100100 (23 bits)
Octal 0o36744544
Hexadecimal 0x7BC964

Divisor Catalog (6)

1 2 4 2,028,121 4,056,242 8,112,484

Collatz Trajectory (85 steps to reach 1)

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

8,112,484 4,056,242 2,028,121 6,084,364 3,042,182 1,521,091 4,563,274 2,281,637 6,844,912 3,422,456 1,711,228 855,614 427,807 1,283,422 641,711 1,925,134 962,567 2,887,702 1,443,851 4,331,554 2,165,777 6,497,332 3,248,666 1,624,333 4,873,000 2,436,500 1,218,250 609,125 1,827,376 913,688 456,844 228,422 114,211 342,634 171,317 513,952 256,976 128,488 64,244 32,122 16,061 48,184 24,092 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430

More profiles

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