6404
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11214
- Proper Divisor Sum (Aliquot Sum)
- 4810
- 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
- 3200
- Möbius Function
- 0
- Radical
- 3202
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 62
- 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 permutations of length n within distance 3 of a fixed permutation.at n=9A002526
- Numbers k such that k!! - 1 is prime.at n=17A007749
- Theta series of lattice Kappa_9.at n=6A015233
- 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 40.at n=32A031538
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 40.at n=3A031718
- a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=1, a(2)=2.at n=29A033500
- Numbers having three 4's in base 8.at n=36A043439
- Number of ways to place 4 nonattacking queens on a 4 X n board.at n=13A061990
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=23A063372
- Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x.at n=43A063948
- a(n) = (9*n^2 + 13*n + 6)/2.at n=37A064226
- a(n) = A051201(n^2).at n=36A078163
- Expansion of g.f. x*(1-x+x^5+x^6-x^7+x^9)/(1-2*x+x^4+x^6-2*x^7+x^10).at n=15A097596
- Numbers n such that 65537 * 2^n - 1 is prime.at n=22A109993
- Related to numbers of equicolorable trees (see Pippenger article for definition).at n=13A119853
- Series expansion for mean-squared radius of gyration of Ferrers diagrams on square lattice.at n=5A121781
- Number of integer-sided triangles with all sides <= n and sides relatively prime.at n=43A123324
- Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^3).at n=35A127764
- Number of facets of the Alternating Sign Matrix polytope ASM(n).at n=42A128445
- Positions of 11's in A131744.at n=2A133152