λ
Sigma Notebook

6,768,756

22 × 32 × 188021
Abundant Even Composite

6,768,756 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 188021 and its 18 divisors sum to 17,110,002.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 188021
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 17,110,002
Proper Divisor Sum 10,341,246
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6768721 ← → #6768761

Radix Representation

Decimal 6768756
Binary 11001110100100001110100 (23 bits)
Octal 0o31644164
Hexadecimal 0x674874

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 188,021 376,042 564,063 752,084 1,128,126 1,692,189 2,256,252 3,384,378 6,768,756

Collatz Trajectory (108 steps to reach 1)

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

6,768,756 3,384,378 1,692,189 5,076,568 2,538,284 1,269,142 634,571 1,903,714 951,857 2,855,572 1,427,786 713,893 2,141,680 1,070,840 535,420 267,710 133,855 401,566 200,783 602,350 301,175 903,526 451,763 1,355,290 677,645 2,032,936 1,016,468 508,234 254,117 762,352 381,176 190,588 95,294 47,647 142,942 71,471 214,414 107,207 321,622 160,811 482,434 241,217 723,652 361,826 180,913 542,740 271,370 135,685 407,056 203,528 101,764 50,882 25,441 76,324 38,162 19,081 57,244 28,622 14,311 42,934

More profiles

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