5764
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11088
- Proper Divisor Sum (Aliquot Sum)
- 5324
- 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
- 2600
- Möbius Function
- 0
- Radical
- 2882
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 142
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=22A020395
- n written in fractional base 8/5.at n=52A024647
- a(n) = [ Sum{(sqrt(j+1)-sqrt(i+1))^2} ], 1 <= i < j <= n.at n=47A025222
- a(n) = A027113(n, n+2).at n=11A027114
- Multiplicity of highest weight (or singular) vectors associated with character chi_183 of Monster module.at n=38A034571
- Number of partitions of n into parts not of the form 19k, 19k+7 or 19k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=31A035976
- Pentagonal numbers multiplied by 2: a(n) = n*(3*n-1).at n=44A049450
- 1/2-Smith numbers.at n=35A050224
- Numbers k such that 7*2^k - 5 is prime.at n=30A058602
- Numbers n for which there are exactly twelve k such that n = k + reverse(k).at n=5A072435
- Sign twisted convoluted convolved Fibonacci numbers H_5^(r).at n=45A089110
- Indices of primes in sequence defined by A(0) = 57, A(n) = 10*A(n-1) - 23 for n > 0.at n=14A101580
- Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = [ Sum_{k>=0} y^k * R_k(y)^n ]^n for n>=0, with R_0(y) = 1.at n=50A124540
- Row 4 of rectangular table A124540; equals the self-convolution 4th power of A124534 (row 4 of table A124530).at n=5A124544
- a(n) = 2*n*(6*n-1).at n=22A126964
- a(n) = 5*n^2 + 20*n + 4.at n=31A134547
- a(0)=1 and a(n) for n > 0 equals the minimal positive integer such that addition of 2^(-a(n)) to Sum_{k = 0,1,...,n-1} 2^(-a(k)) changes only trailing zeros in its decimal representation.at n=7A137284
- Numbers n with property that A100486(n) is square.at n=41A156913
- Number of different fixed (possibly) disconnected trominoes bounded tightly by an n X n square.at n=31A163433
- Number of 0..17 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1.at n=2A171323