13461
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20544
- Proper Divisor Sum (Aliquot Sum)
- 7083
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7680
- Möbius Function
- -1
- Radical
- 13461
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 45
- 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
- no
- Odd
- yes
Appears in sequences
- Tricapped prism numbers.at n=20A005920
- Pseudoprimes to base 13.at n=35A020141
- Expansion of 1/((1-x)(1-2x)(1-6x)(1-7x)).at n=4A021174
- Antidiagonal sums of square array A082025.at n=28A082190
- Row sums of array A097306.at n=38A097307
- a(n) is the least k such that (k*prime(n)#)^2 + 1, ((k+1)*prime(n)#)^2 + 1 and ((k+2)*prime(n)#)^2 + 1 are 3 primes, where prime(n)# is the n-th primorial.at n=34A098765
- a(n) = smallest squarefree number not less than a(n-1)+a(n-2), a(1)=1, a(0)=0.at n=20A118728
- Expansion of Sum_{k>=0} x^(2*k)/Product_{j=1..k} (1 - j*2*x).at n=10A119429
- Number of partitions of n-set in which number of blocks of size 2k is odd (or zero) for every k.at n=9A130221
- Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|=|y-z|.at n=21A212679
- Number of regular tetrahedra in an n-node-per-edge tetrahedral grid.at n=19A269747
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 493", based on the 5-celled von Neumann neighborhood.at n=25A272545
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 581", based on the 5-celled von Neumann neighborhood.at n=23A273071
- a(n) = Sum_{k=0..n*(n-1)/2} A227543(n,k)^2 for n >= 0.at n=7A376527
- Expansion of g.f. x*(21 + 123*x + 129*x^2 + 4*x^3 + 129*x^4 + 123*x^5 + 21*x^6)/((1 - x)^3*(1 + x + x^2 + x^3)^2).at n=27A377166