4610
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8316
- Proper Divisor Sum (Aliquot Sum)
- 3706
- 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
- 1840
- Möbius Function
- -1
- Radical
- 4610
- 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
- 108
- 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 3-line partitions of n.at n=16A000991
- Perrin sequence (or Perrin numbers, or Ondrej Such sequence): a(n) = a(n-2) + a(n-3) with a(0) = 3, a(1) = 0, a(2) = 2.at n=30A001608
- Sum of 11 positive 9th powers.at n=9A004800
- Number of points on surface of tetrahedron; coordination sequence for sodalite net (equals 2*n^2+2 for n > 0).at n=48A005893
- Coordination sequence T1 for Zeolite Code APD.at n=45A008034
- Coordination sequence T1 for Zeolite Code BIK.at n=41A008047
- Coordination sequence for body-centered tetragonal lattice.at n=24A008527
- Coordination sequence for NiAs(2), As position.at n=32A009945
- Coordination sequence for NiAs(2), Ni position.at n=32A009946
- a(0) = 1, a(n) = 18*n^2 + 2 for n>0.at n=16A010008
- a(0) = 1, a(n) = 32*n^2 + 2 for n > 0.at n=12A010021
- Numbers k such that the continued fraction for sqrt(k) has period 11.at n=40A020350
- a(n) = n*(23*n + 1)/2.at n=20A022281
- The sequence m(n) in A022905.at n=37A022907
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A002808 (composite numbers).at n=31A023863
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (composite numbers).at n=30A024860
- a(n) = Sum_{i=0..n} Sum_{j=0..n} T(i,j), T given by A026747.at n=10A026756
- Numbers k such that the string 1,0 occurs in the base 10 representation of k but not of k-1.at n=45A044342
- Numbers whose base-3 representation contains exactly three 0's and no 1's.at n=38A044980
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=11A045059