7732
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13538
- Proper Divisor Sum (Aliquot Sum)
- 5806
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3864
- Möbius Function
- 0
- Radical
- 3866
- Omega Function (Ω)
- 3
- 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
- 26
- 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
- Coordination sequence for MgNi2, Position Ni2.at n=22A009932
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=25A031818
- Number of partitions satisfying cn(2,5) + cn(3,5) <= 1.at n=42A039857
- Intrinsic 9-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=30A060879
- Number of partitions of n with at most two even parts.at n=38A096778
- Triangle read by rows: T(n,k) is the number of Delannoy paths of length n, having k EE's and NN's crossing the line y = x (i.e., two consecutive E steps from the line y = x+1 to the line y = x-1 or two consecutive N steps from the line y = x-1 to the line y = x+1).at n=24A110123
- Number of permutations of length n which avoid the patterns 2341, 3214, 4213; or avoid the patterns 1324, 2341, 3214.at n=8A116760
- Number of rhombuses on a (n+1)X8 grid.at n=32A190096
- Exponential (or binomial) half-convolution of A000032 (Lucas) with itself.at n=8A204449
- Number of 2 X 2 matrices having all elements in {-n,...,n} and determinant 1.at n=28A209982
- Number of (n+1)X(n+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12.at n=2A234106
- Number of (n+1)X(3+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12.at n=2A234109
- T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12.at n=12A234114
- G.f.: Product_{k>=1} 1/(1-x^k)^(3*k+2).at n=7A255803
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 197", based on the 5-celled von Neumann neighborhood.at n=47A270716
- Length of shortest prefix of the Kolakoski sequence K (A000002) containing all blocks of length n that appear in K.at n=34A283511
- Number of binary vectors of length n having maximal runs-resistance.at n=33A319414
- Sum of the sixth largest parts in the partitions of n into 8 squarefree parts.at n=55A326447
- A(n, k) = (m*k)! [x^k] MittagLefflerE(m, x)^n, for m = 3, n >= 0, k >= 0; square array read by descending antidiagonals.at n=32A326474
- Number of non-alternating compositions of n.at n=14A345192