2983
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3160
- Proper Divisor Sum (Aliquot Sum)
- 177
- 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
- 2808
- Möbius Function
- 1
- Radical
- 2983
- Omega Function (Ω)
- 2
- 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
- 141
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of trees of diameter 4.at n=27A000094
- Numbers that are the sum of 8 positive 6th powers.at n=31A003364
- If x and y are terms, so is x*y + 9.at n=23A009350
- Coordination sequence T3 for Zeolite Code VET.at n=33A009904
- Pisot sequence E(7,15), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].at n=8A014001
- Apply partial sum operator twice to Catalan numbers.at n=8A014140
- Pseudoprimes to base 12.at n=21A020140
- Numbers k such that the continued fraction for sqrt(k) has period 38.at n=30A020377
- Number of compositions (ordered partitions) of n into powers of 2.at n=15A023359
- Irregular triangular array T read by rows: T(0,0) = 1, T(0,1) = T(0,2) = 0; T(1,0) = T(1,1) = T(1,2) = 1, T(1,3) = 0; for n >= 2, T(n,0) = 1, T(n,1) = T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 2,3,...,n+1 and T(n,n+2) = T(n-1,n) + T(n-1,n+1).at n=72A026323
- Number of paths in the plane x >= 0 and y >= -2, from (0,0) to (n,0), and consisting of steps U = (1,1), D = (1,-1) and H = (1,0).at n=9A026325
- Numbers k in which the digits of k^2 appear.at n=9A029774
- Euler transform of Thue-Morse sequence A001285.at n=18A029877
- Number of even graphical partitions.at n=7A029891
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 22 ones.at n=38A031790
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=3A031902
- Numbers whose set of base-14 digits is {1,3}.at n=16A032921
- Coordination sequence T7 for Zeolite Code SFF.at n=36A038431
- Numbers k such that the string 7,4 occurs in the base 9 representation of k but not of k-1.at n=40A044318
- Numbers n such that string 8,3 occurs in the base 10 representation of n but not of n-1.at n=32A044415