2114
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3648
- Proper Divisor Sum (Aliquot Sum)
- 1534
- 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
- 900
- Möbius Function
- -1
- Radical
- 2114
- 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
- 81
- 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
- The convergent sequence B_n for the ternary continued fraction (3,1;2,2) of period 2.at n=10A000963
- Number of n-node bipartite graphs not determined by their spectra.at n=9A006612
- Coordination sequence T1 for Cordierite.at n=28A008251
- Coordination sequence T1 for Scapolite.at n=29A008262
- Expansion of (1+x^10)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=53A008771
- a(n) = n^2 - 2.at n=45A008865
- Coordination sequence for FeS2-Marcasite, Fe position.at n=24A009955
- Least k such that b(k) = n, where b( ) is sequence A020944.at n=41A020948
- Derivative of log of A002126.at n=34A023901
- n written in fractional base 5/2.at n=44A024632
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = (odd natural numbers).at n=17A025083
- Expansion of 1/((1-2x)(1-3x)(1-5x)(1-8x)).at n=3A025932
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 44.at n=14A031542
- Positive numbers for which the sum of digits equals the product of digits.at n=22A034710
- Number of partitions in parts not of the form 25k, 25k+3 or 25k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=28A036002
- Number of partitions satisfying cn(2,5) < cn(0,5) + cn(1,5) + cn(4,5) and cn(3,5) < cn(0,5) + cn(1,5) + cn(4,5).at n=26A039873
- a(n)=(s(n)+4)/8, where s(n)=n-th base 8 palindrome that starts with 4.at n=26A043068
- Numbers n such that string 0,2 occurs in the base 8 representation of n but not of n-1.at n=36A044189
- Numbers n such that string 0,8 occurs in the base 9 representation of n but not of n-1.at n=27A044259
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n-1.at n=23A044346