10842
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23520
- Proper Divisor Sum (Aliquot Sum)
- 12678
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3312
- Möbius Function
- 1
- Radical
- 10842
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 117
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Spiral sieve using Fibonacci numbers.at n=19A005622
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/28 ).at n=25A011938
- Expansion of Product_{m>=1} 1/(1 + m*q^m).at n=24A022693
- Least term in period of continued fraction for sqrt(n) is 8.at n=28A031432
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=33A063362
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum for each group.at n=25A074128
- Number of permutations of length n which avoid the patterns 2143, 3124, 3421.at n=9A116761
- "666" in bases 7 and higher rewritten in base 10.at n=35A121205
- Limit of reversed rows of triangle A126470, in which row sums equal the factorials.at n=18A126471
- Indices of squares (of primes) in the semiprimes.at n=46A128301
- a(n) = 16n^2 + n.at n=25A157474
- a(n) = 64*n^2 + 2*n.at n=13A158070
- a(n) = 676*n^2 + 26.at n=4A158643
- Number of rationally smooth Schubert varieties of type B_n.at n=6A224240
- Numbers m such that the GCD of the x's that satisfy sigma(x) = m is 2.at n=31A241647
- Sum over each antidiagonal of A244306.at n=17A244307
- Alternating sum of centered heptagonal pyramidal numbers.at n=26A270694
- Numbers n such that Bernoulli number B_{n} has denominator 3318.at n=6A272383
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 318", based on the 5-celled von Neumann neighborhood.at n=27A287628
- Positive integers m such that m, m + 1 and m + 2 are a sum of a positive square and a positive cube.at n=26A295787