λ
Harmonic Matrix

8,818,740

22 × 33 × 5 × 7 × 2333
Abundant Even Composite

8,818,740 has digital root 9. The neighboring primes are 8818727 and 8818759; its proper-divisor sum differs from the starting integer by 13,731,480.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7 × 2333
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 31,368,960
Proper Divisor Sum 22,550,220
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8818727 ← → #8818759

Radix Representation

Decimal 8818740
Binary 100001101001000000110100 (24 bits)
Octal 0o41510064
Hexadecimal 0x869034

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1,260 1,890 2,333 3,780 4,666 6,999 9,332 11,665 13,998 16,331 20,997 23,330 27,996 32,662 34,995

Collatz Trajectory (137 steps to reach 1)

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

8,818,740 4,409,370 2,204,685 6,614,056 3,307,028 1,653,514 826,757 2,480,272 1,240,136 620,068 310,034 155,017 465,052 232,526 116,263 348,790 174,395 523,186 261,593 784,780 392,390 196,195 588,586 294,293 882,880 441,440 220,720 110,360 55,180 27,590 13,795 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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