λ
Integer Codex

243,366

2 × 3 × 47 × 863
Abundant Even Composite

For 243,366, the 16 positive divisors have a total of 497,664. Removing 243,366 leaves 254,298, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 497,664
Proper Divisor Sum 254,298
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #243343 ← → #243367

Radix Representation

Decimal 243366
Binary 111011011010100110 (18 bits)
Octal 0o733246
Hexadecimal 0x3B6A6

Divisor Catalog (16)

1 2 3 6 47 94 141 282 863 1,726 2,589 5,178 40,561 81,122 121,683 243,366

Collatz Trajectory (62 steps to reach 1)

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

243,366 121,683 365,050 182,525 547,576 273,788 136,894 68,447 205,342 102,671 308,014 154,007 462,022 231,011 693,034 346,517 1,039,552 519,776 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8

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