8984
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16860
- Proper Divisor Sum (Aliquot Sum)
- 7876
- 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
- 4488
- Möbius Function
- 0
- Radical
- 2246
- Omega Function (Ω)
- 4
- 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
- 47
- 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
- yes
- Odd
- no
Appears in sequences
- Number of immersions of the oriented circle into the oriented plane with n double points.at n=6A008980
- a(1) = 2; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=33A025003
- 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 23.at n=36A031521
- Number of partitions of n into parts not of the form 23k, 23k+5 or 23k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=34A035993
- Number of (3412,1234)-avoiding involutions in S_n.at n=25A085583
- Real parts of multiperfect Gaussian numbers z, sorted with respect to |z| and Re(z).at n=38A100884
- Let pi be an unrestricted partition of n with the summands written in binary notation. a(n) is the number of such partitions whose binary representation has an odd number of binary ones.at n=36A102437
- Number of sum of squares representations of n^2 in n dimensions disregarding order and sign.at n=17A105152
- a(n) = A000085(n) - A000079(n-1).at n=9A122932
- Numbers n such that 379*10^n+9 is a ("Google") probable prime.at n=18A159264
- Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m.at n=4A175356
- a(n) is the number of terms in the expansion of (x-y)(x^3-y^3)*(x^6-y^6)*(x^10-y^10)*...*(x^T_i-y^T_i), where T_i is the i-th triangular number.at n=36A222028
- Number of partitions of n having depth 2; see Comments.at n=38A237750
- Numbers k such that 7*R_k - 10 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A256905
- Triangle T(w>=1,1<=n<=w) read by rows: the number of rooted weighted trees with n nodes and weight w.at n=63A303911
- Numbers k such that 4*k + 1 is a perfect cube, sorted by absolute values.at n=16A305290
- Number of rectangular plane partitions of n with strictly decreasing rows and columns.at n=40A323430
- a(n) = Sum_{-n<i<n, -n<j<n, gcd{i,j}=1} (n-|i|)*(n-|j|).at n=10A331771
- Number of n-step self-avoiding walks on the b.c.c. lattice with no non-contiguous adjacencies.at n=5A336906
- a(n) = Sum_{k=0..n} 2^k * A000041(k) * A000009(n-k).at n=8A347829