5344
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10584
- Proper Divisor Sum (Aliquot Sum)
- 5240
- 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
- 2656
- Möbius Function
- 0
- Radical
- 334
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 72
- 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 T4 for Zeolite Code -CHI.at n=46A009849
- Powers of cube root of 5 rounded to nearest integer.at n=16A017989
- Powers of cube root of 5 rounded up.at n=16A017990
- Number of partitions in parts not of the form 7k, 7k+2 or 7k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 2 are greater than 1.at n=47A035938
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+1 or 20k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=56A036024
- Number of ternary rooted trees with n nodes and height at most 7.at n=13A036375
- Number of unlabeled asymmetric 2-ary cacti having n polygons.at n=11A054358
- McKay-Thompson series of class 40A for Monster.at n=41A058662
- Write the numbers from 1 to n^2 in a spiraling square; a(n) is the total of the sums of the two diagonals.at n=16A059924
- Positions of A080313 in A014486.at n=11A080312
- (c(p)-2)/p where p runs through the primes and where c(p) denotes the p-th Catalan number = binomial(2*p,p)/(p+1).at n=4A082179
- Smallest multiple of prime(n) of the form r*prime(n-1) + s*prime(n-2). r and s are positive integers.at n=36A085950
- Number of squares on infinite quarter chessboard at <=n knight moves from the corner.at n=39A098500
- Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) - 27 for n > 0.at n=11A101713
- Inverse of Riordan array (1/(1-x)^2,x(1-x)/(1+x)), A104698.at n=29A110271
- phi(n) + n is a cube.at n=22A114074
- Inverse Moebius transform of the shifted tetrahedral numbers.at n=27A116963
- a(1) = 335; a(n) is the smallest k > a(n-1) such that k*A002110(n)^30 - 1 is prime.at n=27A119760
- Number of 0's in the binary expansion of A127962(n).at n=25A127964
- 5*n^5 + 3*n^3 + 2*n^2. Coefficients and exponents are the prime numbers in decreasing order.at n=4A134633