λ
Harmonic Matrix

2,383,740

22 × 32 × 5 × 17 × 19 × 41
Abundant Even Composite

2,383,740 has digital root 9. The neighboring primes are 2383739 and 2383751; its proper-divisor sum differs from the starting integer by 3,488,040.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 17 × 19 × 41
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 8,255,520
Proper Divisor Sum 5,871,780
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2383739 ← → #2383751

Radix Representation

Decimal 2383740
Binary 1001000101111101111100 (22 bits)
Octal 0o11057574
Hexadecimal 0x245F7C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 41 45 51 57 60 68 76 82 85 90 95 102 114 123 153 164 170 171 180 190 204 205 228 246 255 285 306 323 340 342 369 380 410 492 510 570 612 615 646 684 697 738

Collatz Trajectory (267 steps to reach 1)

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

2,383,740 1,191,870 595,935 1,787,806 893,903 2,681,710 1,340,855 4,022,566 2,011,283 6,033,850 3,016,925 9,050,776 4,525,388 2,262,694 1,131,347 3,394,042 1,697,021 5,091,064 2,545,532 1,272,766 636,383 1,909,150 954,575 2,863,726 1,431,863 4,295,590 2,147,795 6,443,386 3,221,693 9,665,080 4,832,540 2,416,270 1,208,135 3,624,406 1,812,203 5,436,610 2,718,305 8,154,916 4,077,458 2,038,729 6,116,188 3,058,094 1,529,047 4,587,142 2,293,571 6,880,714 3,440,357 10,321,072 5,160,536 2,580,268 1,290,134 645,067 1,935,202 967,601 2,902,804 1,451,402 725,701 2,177,104 1,088,552 544,276

More profiles

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