λ
Sequence Observatory

9,848,784

24 × 3 × 11 × 23 × 811
Abundant Even Composite

Starting at 9,848,784, the Collatz iteration reaches 1 after 88 steps. The first transition is 4924392; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 23 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 28,998,144
Proper Divisor Sum 19,149,360
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9848779 ← → #9848789

Radix Representation

Decimal 9848784
Binary 100101100100011111010000 (24 bits)
Octal 0o45443720
Hexadecimal 0x9647D0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 811 1,012 1,104 1,518 1,622 2,024 2,433 3,036 3,244 4,048 4,866 6,072 6,488 8,921 9,732 12,144 12,976 17,842 18,653 19,464 26,763 35,684 37,306 38,928 53,526 55,959 71,368 74,612

Collatz Trajectory (88 steps to reach 1)

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

9,848,784 4,924,392 2,462,196 1,231,098 615,549 1,846,648 923,324 461,662 230,831 692,494 346,247 1,038,742 519,371 1,558,114 779,057 2,337,172 1,168,586 584,293 1,752,880 876,440 438,220 219,110 109,555 328,666 164,333 493,000 246,500 123,250 61,625 184,876 92,438 46,219 138,658 69,329 207,988 103,994 51,997 155,992 77,996 38,998 19,499 58,498 29,249 87,748 43,874 21,937 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736

More profiles

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