λ
Sigma Notebook

6,391,692

22 × 32 × 43 × 4129
Abundant Even Composite

6,391,692 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 43 × 4129 and its 36 divisors sum to 16,536,520.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 43 × 4129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,536,520
Proper Divisor Sum 10,144,828
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6391669 ← → #6391699

Radix Representation

Decimal 6391692
Binary 11000011000011110001100 (23 bits)
Octal 0o30303614
Hexadecimal 0x61878C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1,548 4,129 8,258 12,387 16,516 24,774 37,161 49,548 74,322 148,644 177,547 355,094 532,641 710,188 1,065,282 1,597,923 2,130,564 3,195,846 6,391,692

Collatz Trajectory (59 steps to reach 1)

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

6,391,692 3,195,846 1,597,923 4,793,770 2,396,885 7,190,656 3,595,328 1,797,664 898,832 449,416 224,708 112,354 56,177 168,532 84,266 42,133 126,400 63,200 31,600 15,800 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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