λ
Harmonic Matrix

6,743,340

22 × 32 × 5 × 37463
Abundant Even Composite

6,743,340 has digital root 9. The neighboring primes are 6743333 and 6743353; its proper-divisor sum differs from the starting integer by 6,968,664.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 37463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,455,344
Proper Divisor Sum 13,712,004
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6743333 ← → #6743353

Radix Representation

Decimal 6743340
Binary 11001101110010100101100 (23 bits)
Octal 0o31562454
Hexadecimal 0x66E52C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 37,463 74,926 112,389 149,852 187,315 224,778 337,167 374,630 449,556 561,945 674,334 749,260 1,123,890 1,348,668 1,685,835 2,247,780 3,371,670 6,743,340

Collatz Trajectory (108 steps to reach 1)

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

6,743,340 3,371,670 1,685,835 5,057,506 2,528,753 7,586,260 3,793,130 1,896,565 5,689,696 2,844,848 1,422,424 711,212 355,606 177,803 533,410 266,705 800,116 400,058 200,029 600,088 300,044 150,022 75,011 225,034 112,517 337,552 168,776 84,388 42,194 21,097 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130

More profiles

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