4536
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 14520
- Proper Divisor Sum (Aliquot Sum)
- 9984
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1296
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 64
- 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
- Number of trees of diameter 4.at n=29A000094
- Number of ways of folding a strip of n labeled stamps.at n=8A000136
- Card matching: coefficients B[n,2] of t^2 in the reduced hit polynomial A[n,n,n](t).at n=3A000535
- Number of labeled trees of diameter 3 with n nodes.at n=5A000554
- Unsigned Stirling numbers of first kind s(n,6).at n=3A001233
- Stirling numbers of first kind, s(n+3, n), negated.at n=5A001303
- Cluster series for diamond.at n=8A003212
- Coordination sequence T4 for Zeolite Code TON.at n=42A008244
- Coordination sequence T3 for Zeolite Code VSV.at n=42A009916
- a(n) = n*(n-1)^4/2.at n=7A019583
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=35A020333
- Expansion of Product_{m>=1} (1+x^m)^3.at n=16A022568
- n written in fractional base 7/4.at n=48A024641
- Expansion of (theta_3(z)*theta_3(13z)+theta_2(z)*theta_2(13z))^4.at n=36A028620
- Floor( 7*n^2/2 ).at n=36A032525
- Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=19A033688
- Dirichlet convolution of 3^(n-1) with itself.at n=7A034751
- Triangle giving number of labeled trees with n >= 3 nodes and diameter d >= 2.at n=22A034854
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 3).at n=36A035536
- Number of partitions of 3n with same number of parts == 1 (mod 3) and == 2 (mod 3).at n=12A035592