λ
Sequence Observatory

8,700,780

22 × 3 × 5 × 11 × 13183
Abundant Even Composite

Starting at 8,700,780, the Collatz iteration reaches 1 after 199 steps. The first transition is 4350390; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 13183
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,578,944
Proper Divisor Sum 17,878,164
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8700773 ← → #8700793

Radix Representation

Decimal 8700780
Binary 100001001100001101101100 (24 bits)
Octal 0o41141554
Hexadecimal 0x84C36C

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 13,183 26,366 39,549 52,732 65,915 79,098 131,830 145,013 158,196 197,745 263,660 290,026 395,490 435,039 580,052 725,065 790,980 870,078 1,450,130 1,740,156 2,175,195 2,900,260 4,350,390 8,700,780

Collatz Trajectory (199 steps to reach 1)

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

8,700,780 4,350,390 2,175,195 6,525,586 3,262,793 9,788,380 4,894,190 2,447,095 7,341,286 3,670,643 11,011,930 5,505,965 16,517,896 8,258,948 4,129,474 2,064,737 6,194,212 3,097,106 1,548,553 4,645,660 2,322,830 1,161,415 3,484,246 1,742,123 5,226,370 2,613,185 7,839,556 3,919,778 1,959,889 5,879,668 2,939,834 1,469,917 4,409,752 2,204,876 1,102,438 551,219 1,653,658 826,829 2,480,488 1,240,244 620,122 310,061 930,184 465,092 232,546 116,273 348,820 174,410 87,205 261,616 130,808 65,404 32,702 16,351 49,054 24,527 73,582 36,791 110,374 55,187

More profiles

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