λ
Harmonic Matrix

6,835,746

2 × 3 × 1139291
Abundant Even Composite

6,835,746 has digital root 3. The neighboring primes are 6835729 and 6835783; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1139291
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,671,504
Proper Divisor Sum 6,835,758
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6835729 ← → #6835783

Radix Representation

Decimal 6835746
Binary 11010000100111000100010 (23 bits)
Octal 0o32047042
Hexadecimal 0x684E22

Divisor Catalog (8)

1 2 3 6 1,139,291 2,278,582 3,417,873 6,835,746

Collatz Trajectory (191 steps to reach 1)

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

6,835,746 3,417,873 10,253,620 5,126,810 2,563,405 7,690,216 3,845,108 1,922,554 961,277 2,883,832 1,441,916 720,958 360,479 1,081,438 540,719 1,622,158 811,079 2,433,238 1,216,619 3,649,858 1,824,929 5,474,788 2,737,394 1,368,697 4,106,092 2,053,046 1,026,523 3,079,570 1,539,785 4,619,356 2,309,678 1,154,839 3,464,518 1,732,259 5,196,778 2,598,389 7,795,168 3,897,584 1,948,792 974,396 487,198 243,599 730,798 365,399 1,096,198 548,099 1,644,298 822,149 2,466,448 1,233,224 616,612 308,306 154,153 462,460 231,230 115,615 346,846 173,423 520,270 260,135

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