4655
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6840
- Proper Divisor Sum (Aliquot Sum)
- 2185
- 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
- 3024
- Möbius Function
- 0
- Radical
- 665
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 90
- 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
- no
- Odd
- yes
Appears in sequences
- Number of free polyominoes (or square animals) with n cells.at n=10A000105
- Number of sublattices of index n in generic 3-dimensional lattice.at n=43A001001
- a(n) = n*(n+5)*(n+6)*(n+7)/24.at n=14A005587
- 12-gonal (or dodecagonal) pyramidal numbers: a(n) = n*(n+1)*(10*n-7)/6.at n=14A007587
- Coordination sequence T1 for Zeolite Code MOR.at n=44A008182
- If x and y are terms, so is x*y + 9.at n=28A009350
- Coordination sequence T3 for Zeolite Code -CHI.at n=43A009848
- Coordination sequence T3 for Zeolite Code RUT.at n=45A009899
- a(n) = (1/12)*(n+5)*(n+1)*n^2.at n=14A014205
- Concatenation of n and n + 9 or {n,n+9}.at n=45A032614
- a(n) = (2*n+1) * (4*n-1).at n=24A033566
- Denominators of continued fraction convergents to sqrt(518).at n=6A041991
- Positions where number of periodic partitions increases.at n=30A059994
- Number of primitive sublattices of index n in generic 3-dimensional lattice.at n=43A060983
- Numbers from A066112 that are neither square nor twice a square, i.e., are not in A028982 but are in A028983.at n=20A066134
- Numbers k such that (k, phi(k)) lies on a circle with integral radius centered at the origin, i.e., k^2 + phi(k)^2 is a square.at n=39A066763
- Composite numbers k with no prime factor among (2, 3) (cf. A038509) and such that phi(k) < 2*k/3.at n=16A069043
- Numbers n such that n-th cyclotomic polynomial evaluated at phi(n) is a prime number.at n=30A070525
- Let u(1)=1, u(n)=2^u(n-1) (mod n), sequence gives values of n such that u(n)=1.at n=44A076825
- Triangle read by rows: colored polyominoes. For n >= 1, 1 <= k <= n, T(n, k) is the number of k-colored n-celled polyominoes, counted up to rotation, reflection and permutation of the colors. Adjacent cells must be different colors. T(n, k) counts only polyominoes that include all k colors.at n=46A088972