2097
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
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 3042
- Proper Divisor Sum (Aliquot Sum)
- 945
- 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
- 1392
- Möbius Function
- 0
- Radical
- 699
- 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
- 63
- 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
- Coordination sequence T1 for Zeolite Code AST.at n=34A008036
- Coordination sequence T3 for Zeolite Code HEU.at n=30A008118
- Coordination sequence T2 for Zeolite Code -WEN.at n=33A009863
- Sum_{1<=k<n} gcd(k!,n!/k!).at n=11A014454
- Pseudoprimes to base 89.at n=31A020217
- Numbers k such that the continued fraction for sqrt(k) has period 36.at n=22A020375
- Fibonacci sequence beginning 0, 9.at n=13A022092
- a(n) = n*(13*n - 1)/2.at n=18A022270
- Number of partitions of n into parts not of the form 25k, 25k+9 or 25k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=26A036008
- Coordination sequence T6 for Zeolite Code SFF.at n=30A038432
- Numerators of continued fraction convergents to sqrt(951).at n=4A042840
- a(n)=(s(n)+2)/4, where s(n)=n-th base 4 palindrome that starts with 2.at n=45A043048
- a(n)=(s(n)+4)/8, where s(n)=n-th base 8 palindrome that starts with 4.at n=24A043068
- Numbers k such that string 5,4 occurs in the base 7 representation of k but not of k-1.at n=48A044177
- Numbers k such that string 6,1 occurs in the base 8 representation of k but not of k-1.at n=36A044236
- Numbers k such that the string 8,0 occurs in the base 9 representation of k but not of k-1.at n=27A044323
- Numbers n such that string 9,7 occurs in the base 10 representation of n but not of n-1.at n=22A044429
- Numbers n such that string 6,1 occurs in the base 8 representation of n but not of n+1.at n=36A044617
- Numbers n such that string 8,0 occurs in the base 9 representation of n but not of n+1.at n=27A044704
- Numbers n such that string 9,7 occurs in the base 10 representation of n but not of n+1.at n=22A044810