4878
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10608
- Proper Divisor Sum (Aliquot Sum)
- 5730
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1620
- Möbius Function
- 0
- Radical
- 1626
- 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
- 134
- 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 alternating prime knots with n crossings.at n=12A002864
- Coordination sequence T2 for Zeolite Code AEL.at n=46A008005
- Coordination sequence T3 for Zeolite Code RSN.at n=45A009887
- Apply partial sum operator 4 times to partition numbers.at n=11A014161
- Dirichlet convolution of b_n=1 with Catalan numbers.at n=9A034731
- Numbers k such that the k-th Fibonacci number reversed is prime.at n=22A036971
- Numbers k such that 297*2^k-1 is prime.at n=31A050907
- The sequence S defined in A058540.at n=8A058371
- Triangle T(n,k), n >= 1, giving number of prime unoriented alternating links with n crossings and k components.at n=38A059739
- Numbers k such that Cyclotomic(k,k) (i.e., the value of k-th cyclotomic polynomial at k) is a prime number.at n=22A070519
- a(n) = Sum_(i=1..n) binomial(i+2,3)^2 [ Sequential sums of the tetragonal numbers or "tetras" (pyramidal, square) raised to power 2 (drawn from the 4th diagonal - left or right - of Pascal's Triangle) ].at n=5A086020
- Initial values for iteration of the function f(x) = A063919(x) such that the iteration ends in a 14-cycle, i.e., in A097030.at n=40A097034
- Triangle, read by rows, of the coefficients of [x^k] in G100228(x)^n such that the row sums are 4^n-1 for n>0, where G100228(x) is the g.f. of A100228.at n=49A100229
- Number triangle of sums of squared binomial coefficients.at n=39A110197
- a(n) = ceiling(g(A000073(n))) with g(k) = (k-1)^2/(4k).at n=17A115792
- Numbers k such that the k-th triangular number contains only digits {1,8,9}.at n=9A119151
- (1/8)*number of lattice points with odd indices in a cubic lattice inside a sphere around the origin with radius 2*n.at n=20A120884
- "666" in bases 7 and higher rewritten in base 10.at n=21A121205
- Square array of Kekulé numbers for the mirror-symmetrical chevrons Ch(m,n), read by antidiagonals (m,n >= 0).at n=49A123349
- a(n) = A121296(n) - A121263(n).at n=10A130287