4961
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5586
- Proper Divisor Sum (Aliquot Sum)
- 625
- 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
- 4400
- Möbius Function
- 0
- Radical
- 451
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 72
- 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
- Hexanacci numbers with a(0) = ... = a(5) = 1.at n=16A000383
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=41A000567
- Pseudoprimes to base 3.at n=17A005935
- Coordination sequence T2 for Zeolite Code ATV.at n=45A008044
- Coordination sequence T2 for Cordierite.at n=42A008252
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=21A011934
- Odd octagonal numbers: (2n+1)*(6n+1).at n=20A014641
- a(n) = (1/3)*(n^2 + 2*n + 3)*(n+1)^2.at n=10A014820
- Pseudoprimes to base 9.at n=37A020138
- Pseudoprimes to base 27.at n=35A020155
- Pseudoprimes to base 40.at n=21A020168
- Pseudoprimes to base 94.at n=40A020222
- Strong pseudoprimes to base 40.at n=7A020266
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=32A024846
- Composite numbers whose prime factors contain no digits other than 1 and 4.at n=4A036304
- Number of partitions satisfying (cn(0,5) = cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=52A036821
- Coordination sequence T3 for Zeolite Code AEN.at n=44A047952
- Length of hypotenuse squared in right triangle formed by a palindromic spiral plotted in Cartesian coordinates.at n=13A048871
- a(n) = n*(n^2 - 6*n + 11)/6.at n=33A050407
- Triangle in A059037 read by rows from left to right.at n=25A059038