λ
Sigma Notebook

8,230,518

2 × 33 × 152417
Abundant Even Composite

8,230,518 is even and not a perfect square. Its factorization is 2 × 3^3 × 152417 and its 16 divisors sum to 18,290,160.

Prime Factor Structure

Factorization String 2 × 3^3 × 152417
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,290,160
Proper Divisor Sum 10,059,642
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8230517 ← → #8230543

Radix Representation

Decimal 8230518
Binary 11111011001011001110110 (23 bits)
Octal 0o37313166
Hexadecimal 0x7D9676

Divisor Catalog (16)

1 2 3 6 9 18 27 54 152,417 304,834 457,251 914,502 1,371,753 2,743,506 4,115,259 8,230,518

Collatz Trajectory (137 steps to reach 1)

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

8,230,518 4,115,259 12,345,778 6,172,889 18,518,668 9,259,334 4,629,667 13,889,002 6,944,501 20,833,504 10,416,752 5,208,376 2,604,188 1,302,094 651,047 1,953,142 976,571 2,929,714 1,464,857 4,394,572 2,197,286 1,098,643 3,295,930 1,647,965 4,943,896 2,471,948 1,235,974 617,987 1,853,962 926,981 2,780,944 1,390,472 695,236 347,618 173,809 521,428 260,714 130,357 391,072 195,536 97,768 48,884 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216

More profiles

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