5362
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
- 8
- Divisor Sum
- 9216
- Proper Divisor Sum (Aliquot Sum)
- 3854
- 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
- 2292
- Möbius Function
- -1
- Radical
- 5362
- 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
- 46
- 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
- yes
- Odd
- no
Appears in sequences
- Number of rooted toroidal maps with 2 faces and n vertices and without separating cycles or isthmuses.at n=5A006422
- Series for second parallel moment of square lattice (eventually changes sign).at n=6A006729
- Coordination sequence T2 for Zeolite Code MEL.at n=47A008151
- Number of possible chess diagrams after n plies.at n=3A019319
- n written in fractional base 7/5.at n=30A024642
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=41A034072
- Erroneous version of A083276.at n=3A057745
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=35A063365
- Deterministic completely defined initially connected acyclic automata with 3 inputs and n+1 transient unlabeled states including a unique state having all transitions to the absorbing state.at n=3A082164
- Number of distinct chess positions after n plies including differences due to availability and possibility of castling and en passant captures.at n=3A083276
- Number of primitive partition identities with largest part n.at n=9A089040
- Number of increasing subsequences that can be made from the sequence of successive primes.at n=20A091956
- Row sums of triangle A096801, which transforms the (n+m)-dimensional partitions of n into the (n+m+1)-dimensional partitions of n, for any fixed m.at n=8A096802
- Triangular matrix T, read by rows, that satisfies: T^3 + 3T^2 + 3T = SHIFTUP(T), also T^(n+2) + 3T^(n+1) + 3T^n = SHIFTUP(T^n - D*T^(n-1)) for all n, where D is a diagonal matrix with diagonal(D) = diagonal(T) = {1,2,3,...}.at n=6A103237
- Start with 1 and repeatedly reverse the digits and add 48 to get the next term.at n=20A118160
- Numbers n such that every digit occurs at least once in n^3.at n=11A119735
- Triangle read by rows: coefficients of polynomials arising in the spontaneous magnetization of the anisotropic square lattice Ising model (see pp. 174-5 of the Guttmann reference).at n=38A138781
- Triangle read by rows: coefficients of polynomials arising in the spontaneous magnetization of the anisotropic square lattice Ising model (see pp. 174-5 of the Guttmann reference).at n=46A138781
- (Average of twin balanced prime pairs)/10.at n=19A173893
- Number of distinct 5-card poker hands using n ranks and 4 unlabeled suits.at n=7A181430