4290
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 7806
- 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
- 960
- Möbius Function
- -1
- Radical
- 4290
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 77
- 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
- a(n) = Sum_{j=0..n} (n+j)*binomial(n+j,j).at n=5A002737
- a(n) = 2*n*(2*n-1).at n=33A002939
- Numbers that are the sum of 6 positive 6th powers.at n=30A003362
- Degrees of irreducible representations of alternating group A_13.at n=29A003868
- Degrees of irreducible representations of alternating group A_13.at n=30A003868
- Degrees of irreducible representations of alternating group A_13.at n=31A003868
- Degrees of irreducible representations of symmetric group S_13.at n=55A003877
- Degrees of irreducible representations of symmetric group S_13.at n=56A003877
- Coefficients of Chebyshev polynomials.at n=8A005584
- From the enumeration of corners.at n=4A006333
- Oscillates under partition transform.at n=46A007213
- Coordination sequence T4 for Zeolite Code BRE.at n=43A008061
- Coordination sequence T4 for Zeolite Code MEL.at n=42A008153
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=27A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=10A013593
- Coordination sequence T3 for Zeolite Code OSI.at n=43A016432
- Coordination sequence T1 for Zeolite Code TER.at n=44A016433
- The squarefree numbers ordered lexicographically by their prime factorization (with factors written in decreasing order). a(n) = Product_{k in I} prime(k+1), where I is the set of indices of nonzero binary digits in n = Sum_{k in I} 2^k.at n=55A019565
- a(n) is least k such that k and 8k are anagrams in base n (written in base 10).at n=5A023100
- Theta series of A_12 lattice.at n=2A023903