8967
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14136
- Proper Divisor Sum (Aliquot Sum)
- 5169
- 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
- 5040
- Möbius Function
- 0
- Radical
- 1281
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 140
- 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
- a(n) = T(2*n+1,n+2), T given by A026998.at n=6A027005
- T(n,n+3), T given by A027960.at n=12A027963
- 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 62.at n=37A031560
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 10 (most significant digit on right).at n=19A061939
- Numbers k such that 4^k + 3 is prime.at n=21A089437
- Apocalypse primes: 10^665+a(n) has 666 decimal digits and is prime.at n=5A115983
- a(n) = (prime(n)^4 - prime(n^4))/2, where prime(n) is the n-th prime.at n=5A143682
- 7 times octagonal numbers: a(n) = 7*n*(3*n-2).at n=21A153797
- Numbers k such that 64*k^6 + 1091 is prime.at n=10A155809
- Constant term of the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.at n=15A192754
- G.f.: A(x) = 1 + Sum_{n>=1} x^(n^2) * ((1-x)^n + 1/(1-x)^n).at n=41A197707
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,1.at n=18A222330
- The Wiener index of the dendrimer NS[n], defined pictorially in the A. R. Ashrafi et al. reference.at n=1A224427
- Numbers k whose decimal expansion can be split into at least two parts whose binary equivalents can be concatenated (in the same order) to form the binary expansion of the original number k.at n=11A237041
- Number of palindromic partitions of n whose greatest part has multiplicity <= 4.at n=50A238787
- Triangle read by rows: coefficients of polynomials related to the exponential generating function of sequences generated by Narayana polynomials evaluated at the integers; n>=1, 0<=k<n.at n=30A247502
- Indices of zeros in A268819.at n=46A269157
- Expansion of Sum_{i>=1} x^prime(i)/(1 - x^prime(i)) * Product_{j>=i} 1/(1 - x^prime(j)).at n=57A284827
- Numbers whose trajectories under the map x -> A230625(x) never reach a prime.at n=39A288847
- Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3.3.4.3.4 2D tiling (cf. A219529).at n=41A299255