8224
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16254
- Proper Divisor Sum (Aliquot Sum)
- 8030
- 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
- 4096
- Möbius Function
- 0
- Radical
- 514
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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 ways of writing n as a sum of 6 squares.at n=24A000141
- a(n) = (4^n + 4^[ n/2 ] )/2.at n=5A001446
- Theta series of {D_6}* lattice.at n=48A008425
- Theta series of D_6 lattice.at n=12A008428
- Theta series of {D_6}^{+} lattice.at n=48A008434
- Define the sequence S(a(0), a(1)) by a(n+2) is the least integer such that a(n+2)/a(n+1) > a(n+1)/a(n) for n >= 0 . This is S(2,32).at n=3A022019
- Self-convolution of natural numbers >= 3.at n=31A023551
- Theta series of 6-dimensional lattice P6.4 = A6,2.at n=29A029690
- Theta series of 6-dimensional lattice P6.4 = A6,2.at n=36A029690
- Composite numbers k, not a power of 2, such that the E(k) == 1 (mod k), where E(k) is the k-th Euler number (A000364).at n=26A035163
- Denominators of continued fraction convergents to sqrt(258).at n=3A041483
- Row sums of (signed) triangle A060821 (Hermite polynomials).at n=10A062267
- Numbers k such that sigma(phi(k)) is a prime.at n=23A062514
- 10000n+1, 10000n+3, 10000n+7, 10000n+9 are all primes.at n=4A064963
- Solutions to phi(gpf(x)) - gpf(phi(x)) = 254 = c are special multiples of 257, x = 257k, where largest prime factors of factor k were observed from {2, 3, 5, 17}. See solutions to other even cases of c (=A070813): A007283 for 0, A070004 for 2, A070814 for 14, A070816 for 65534.at n=15A070815
- Numbers n such that phi(n) = b(n,1)^b(n,0) where b(n,1) is the number of 1's in binary representation of n and b(n,0) the number of 0's.at n=39A071638
- Numbers k such that phi(k) is a perfect sixth power.at n=12A078166
- Convolution of the prime numbers with phi(n) convoluted with sigma(n).at n=13A086735
- Numbers n such that 2^(n+1)+2n+1 is prime.at n=28A105330
- a(n) = 2*4^n + (-1)^n*2^(n-1).at n=5A120470