5089
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5824
- Proper Divisor Sum (Aliquot Sum)
- 735
- 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
- 4356
- Möbius Function
- 1
- Radical
- 5089
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 85
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n! + n^2.at n=7A004664
- Coordination sequence T2 for Zeolite Code MOR.at n=46A008183
- Coordination sequence T2 for Zeolite Code -CHI.at n=45A009847
- Numbers k such that Fib(k) == -13 (mod k).at n=19A023167
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=42A024929
- Lucky numbers with size of gaps equal to 14 (lower terms).at n=25A031896
- Decimal part of cube root of a(n) starts with 2: first term of runs.at n=16A034128
- Composite numbers whose prime factors contain no digits other than 2 and 7.at n=47A036312
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=45A036813
- Palindromes in factorial base.at n=35A046807
- Number of different values of i^2+j^2+k^2+l^2 for i,j,k,l in [ 0,n ].at n=39A047801
- Triangle T(n,k) of number of digraphs with a source on n unlabeled nodes with k arcs, k=0..n*(n-1).at n=53A057277
- Expansion of Molien series for a certain 4-D group of order 48.at n=44A078411
- Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes.at n=17A092127
- Expansion of (1-x)^2/((1-x)^3-3x^4).at n=13A097120
- Numbers that appear exactly five times in A101402. (Also indices of fives in A101403.).at n=3A129117
- Positive integers whose sixth power is the sum of seven sixth powers (smallest primitive solutions).at n=17A132410
- Triangle of trinomial logarithmic coefficients: A027907(n,k) = Sum_{i=0..k} T(k,i)*n^i/k!.at n=40A136590
- a(n) = 2*a(n-1) + 2*a(n-2) + 2*a(n-3) - a(n-4); a(0)=0, a(1)=1, a(2)=3, a(3)=9, a(4)=25.at n=9A138574
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 01010-11111-00100 pattern in any orientation.at n=10A147347