10408
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19530
- Proper Divisor Sum (Aliquot Sum)
- 9122
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5200
- Möbius Function
- 0
- Radical
- 2602
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 29
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Irregular triangle read by rows: Whitney numbers of the second kind a(n,k), n >= 1, k >= 0, for the star poset.at n=45A007799
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 51.at n=25A031549
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 51.at n=1A031729
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=13A045247
- a(1) = 1 and for n > 1 let a(n) = a(n-1) + m, where m is the arithmetic mean of the largest subset of all predecessors such that m is an integer and m is maximal.at n=33A063676
- Arithmetic mean of largest subset of {A063676(1), ......., A063676(n-1)} such that a(n) is an integer and a(n) is maximal.at n=46A063678
- List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers.at n=34A075931
- G.f.: (1-x+2*x^2+2*x^3+2*x^4-x^5+x^6)/((1-x)*(1-x^2)^2*(1-x^3)).at n=49A083709
- Catalan transform of the Pell sequence.at n=8A143464
- Number of binary strings of length n with equal numbers of 00110 and 11001 substrings.at n=14A164256
- A(x) satisfies A000290(x)/x^2 = A(x)/A(x^2); A000290 = integer squares.at n=13A173277
- Number of 3X3 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 3 zero-sum 3-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=9A192702
- Fundamental discriminants of real quadratic number fields with class number 10.at n=21A218160
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 310", based on the 5-celled von Neumann neighborhood.at n=29A271198
- Numbers m such that gcd(s1,s2) = number of the Collatz iterations of m where s1 is the sum of the odd terms and s2 the sum of the even terms in the Collatz trajectory.at n=3A281195
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 793", based on the 5-celled von Neumann neighborhood.at n=13A284086
- Start with the triangle with 4 markings of the Shield tiling and recursively apply the substitution rule. a(n) is the number of triangles with 6 markings after n iterations.at n=8A298680
- Number of permutations of {1, 2, ..., n} such that no k+2 points lie on a polynomial of degree k.at n=9A301802
- Even composites m such that A086902(m)==7 (mod m).at n=6A338310
- Number of integer partitions of n with more than one non-co-mode.at n=35A363128