λ
Sigma Notebook

6,181,368

23 × 3 × 37 × 6961
Abundant Even Composite

6,181,368 is even and not a perfect square. Its factorization is 2^3 × 3 × 37 × 6961 and its 32 divisors sum to 15,873,360.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 6961
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,873,360
Proper Divisor Sum 9,691,992
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6181363 ← → #6181391

Radix Representation

Decimal 6181368
Binary 10111100101000111111000 (23 bits)
Octal 0o27450770
Hexadecimal 0x5E51F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 6,961 13,922 20,883 27,844 41,766 55,688 83,532 167,064 257,557 515,114 772,671 1,030,228 1,545,342 2,060,456 3,090,684 6,181,368

Collatz Trajectory (196 steps to reach 1)

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

6,181,368 3,090,684 1,545,342 772,671 2,318,014 1,159,007 3,477,022 1,738,511 5,215,534 2,607,767 7,823,302 3,911,651 11,734,954 5,867,477 17,602,432 8,801,216 4,400,608 2,200,304 1,100,152 550,076 275,038 137,519 412,558 206,279 618,838 309,419 928,258 464,129 1,392,388 696,194 348,097 1,044,292 522,146 261,073 783,220 391,610 195,805 587,416 293,708 146,854 73,427 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208

More profiles

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