5302
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8712
- Proper Divisor Sum (Aliquot Sum)
- 3410
- 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
- 2400
- Möbius Function
- -1
- Radical
- 5302
- 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
- 147
- 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
- Pentagonal numbers written backwards.at n=37A004163
- Maximal length of rook tour on an n X n board.at n=19A006071
- Number of nonnegative integer points (p_1,p_2,...,p_n) in polytope defined by p_0 = p_{n+1} = 0, 2p_i - (p_{i+1} + p_{i-1}) <= 2, p_i >= 0, i=1,...,n. Number of score sequences in a chess tournament with n+1 players (with 3 outcomes for each game).at n=7A007747
- Coordination sequence T1 for Zeolite Code ANA.at n=47A008031
- Number of ways of writing n as a sum of 11 squares.at n=4A008453
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T4 atom.at n=12A019257
- Theta series of D_11 lattice.at n=2A022042
- Theta series of D*_11 lattice.at n=16A022064
- Expansion of g.f.: 1/(1 + 2*x + 9*x^2).at n=9A025170
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 72.at n=7A031570
- Number of partitions satisfying cn(1,5) <= cn(0,5) and cn(4,5) <= cn(0,5).at n=39A039862
- Denominators of continued fraction convergents to sqrt(480).at n=7A041917
- Number of chiral pairs of dissectable polyhedra with n tetrahedral cells and symmetry of type E.at n=14A047762
- a(n) = A047762(2n+1).at n=7A047763
- Number of chiral pairs of dissectable polyhedra with n tetrahedral cells and symmetry of type C.at n=22A047774
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).at n=40A063361
- a(n) is twice the least possible area enclosed by a convex lattice n-gon.at n=51A070911
- Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n^2 filled successively along antidiagonals (A069480).at n=20A072332
- A puzzle: reverse digits of n^2 + 10.at n=45A097990
- A puzzle: reverse digits of n^2 + 10.at n=45A097991