8414
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14448
- Proper Divisor Sum (Aliquot Sum)
- 6034
- 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
- 3600
- Möbius Function
- -1
- Radical
- 8414
- Omega Function (Ω)
- 3
- 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
- 109
- 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
- Expansion of 1/((1-3x)(1-6x)(1-9x)(1-11x)).at n=3A028084
- 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 90.at n=20A031588
- Numbers k such that sigma(prime(k) + 1) == 0 (mod k).at n=38A067759
- Numbers n such that n+2*prime(n) is a perfect square.at n=25A104776
- Even elements of A085493.at n=17A106431
- Multiples of 14 containing a 14 in their decimal representation.at n=26A121034
- Table T(n,k) counts the involutions of n with longest increasing contiguous subsequence of length k.at n=70A178249
- Number of strings of numbers x(i=1..6) in 0..n with sum i*x(i) equal to n*6.at n=9A184706
- Triangle read by rows: T(n,k) is the number of dispersed Dyck paths of length n having k UDU's, where U = (1,1) and D = (1,-1).at n=67A191316
- 0-sequence of reduction of tetrahedral number sequence by x^2 -> x+1.at n=9A192246
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x=3y+3z.at n=43A212566
- a(n) = A216960(n)/2.at n=31A216961
- Numbers n such that n^8 + 1 and (n + 2)^8 + 1 are both prime.at n=25A217972
- Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock equal.at n=2A237135
- Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock equal.at n=0A237137
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock equal.at n=3A237142
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock equal.at n=5A237142
- Number of partitions of n such that (greatest part) = (multiplicity of least part).at n=54A240183
- Composites whose prime factorization in base 3 is an anagram of the number in base 3.at n=19A260047
- Expansion of (G(-x) / chi(-x))^2 in powers of x where chi() is a Ramanujan theta function and G() is a Rogers-Ramanujan function.at n=27A261866