λ
Integer Codex

8,394,264

23 × 32 × 23 × 37 × 137
Abundant Even Composite

For 8,394,264, the 96 positive divisors have a total of 24,541,920. Removing 8,394,264 leaves 16,147,656, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 23 × 37 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 24,541,920
Proper Divisor Sum 16,147,656
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8394263 ← → #8394289

Radix Representation

Decimal 8394264
Binary 100000000001011000011000 (24 bits)
Octal 0o40013030
Hexadecimal 0x801618

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 18 23 24 36 37 46 69 72 74 92 111 137 138 148 184 207 222 274 276 296 333 411 414 444 548 552 666 822 828 851 888 1,096 1,233 1,332 1,644 1,656 1,702 2,466 2,553 2,664 3,151 3,288 3,404 4,932 5,069 5,106 6,302 6,808 7,659 9,453 9,864 10,138

Collatz Trajectory (137 steps to reach 1)

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

8,394,264 4,197,132 2,098,566 1,049,283 3,147,850 1,573,925 4,721,776 2,360,888 1,180,444 590,222 295,111 885,334 442,667 1,328,002 664,001 1,992,004 996,002 498,001 1,494,004 747,002 373,501 1,120,504 560,252 280,126 140,063 420,190 210,095 630,286 315,143 945,430 472,715 1,418,146 709,073 2,127,220 1,063,610 531,805 1,595,416 797,708 398,854 199,427 598,282 299,141 897,424 448,712 224,356 112,178 56,089 168,268 84,134 42,067 126,202 63,101 189,304 94,652 47,326 23,663 70,990 35,495 106,486 53,243

More profiles

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