λ
Harmonic Matrix

6,794,148

22 × 3 × 566179
Abundant Even Composite

6,794,148 has digital root 3. The neighboring primes are 6794113 and 6794173; its proper-divisor sum differs from the starting integer by 2,264,744.

Prime Factor Structure

Factorization String 2^2 × 3 × 566179
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,853,040
Proper Divisor Sum 9,058,892
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6794113 ← → #6794173

Radix Representation

Decimal 6794148
Binary 11001111010101110100100 (23 bits)
Octal 0o31725644
Hexadecimal 0x67ABA4

Divisor Catalog (12)

1 2 3 4 6 12 566,179 1,132,358 1,698,537 2,264,716 3,397,074 6,794,148

Collatz Trajectory (85 steps to reach 1)

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

6,794,148 3,397,074 1,698,537 5,095,612 2,547,806 1,273,903 3,821,710 1,910,855 5,732,566 2,866,283 8,598,850 4,299,425 12,898,276 6,449,138 3,224,569 9,673,708 4,836,854 2,418,427 7,255,282 3,627,641 10,882,924 5,441,462 2,720,731 8,162,194 4,081,097 12,243,292 6,121,646 3,060,823 9,182,470 4,591,235 13,773,706 6,886,853 20,660,560 10,330,280 5,165,140 2,582,570 1,291,285 3,873,856 1,936,928 968,464 484,232 242,116 121,058 60,529 181,588 90,794 45,397 136,192 68,096 34,048 17,024 8,512 4,256 2,128 1,064 532 266 133 400 200

More profiles

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