λ
Prime Ledger

6,797,750

2 × 53 × 27191
Deficient Even Composite

6,797,750 has the prime decomposition 2 × 5^3 × 27191. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 27191
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,725,856
Proper Divisor Sum 5,928,106
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6797743 ← → #6797767

Radix Representation

Decimal 6797750
Binary 11001111011100110110110 (23 bits)
Octal 0o31734666
Hexadecimal 0x67B9B6

Divisor Catalog (16)

1 2 5 10 25 50 125 250 27,191 54,382 135,955 271,910 679,775 1,359,550 3,398,875 6,797,750

Collatz Trajectory (90 steps to reach 1)

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

6,797,750 3,398,875 10,196,626 5,098,313 15,294,940 7,647,470 3,823,735 11,471,206 5,735,603 17,206,810 8,603,405 25,810,216 12,905,108 6,452,554 3,226,277 9,678,832 4,839,416 2,419,708 1,209,854 604,927 1,814,782 907,391 2,722,174 1,361,087 4,083,262 2,041,631 6,124,894 3,062,447 9,187,342 4,593,671 13,781,014 6,890,507 20,671,522 10,335,761 31,007,284 15,503,642 7,751,821 23,255,464 11,627,732 5,813,866 2,906,933 8,720,800 4,360,400 2,180,200 1,090,100 545,050 272,525 817,576 408,788 204,394 102,197 306,592 153,296 76,648 38,324 19,162 9,581 28,744 14,372 7,186

More profiles

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