λ
Integer Codex

424,314

2 × 32 × 11 × 2143
Abundant Even Composite

For 424,314, the 24 positive divisors have a total of 1,003,392. Removing 424,314 leaves 579,078, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,003,392
Proper Divisor Sum 579,078
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #424313 ← → #424331

Radix Representation

Decimal 424314
Binary 1100111100101111010 (19 bits)
Octal 0o1474572
Hexadecimal 0x6797A

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 2,143 4,286 6,429 12,858 19,287 23,573 38,574 47,146 70,719 141,438 212,157 424,314

Collatz Trajectory (81 steps to reach 1)

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

424,314 212,157 636,472 318,236 159,118 79,559 238,678 119,339 358,018 179,009 537,028 268,514 134,257 402,772 201,386 100,693 302,080 151,040 75,520 37,760 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76

More profiles

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