5028
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
- 12
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 6732
- 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
- 1672
- Möbius Function
- 0
- Radical
- 2514
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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
- Pseudoprimes to base 13.at n=18A020141
- a(n) = number of integer strings s(0),...,s(n) counted by array T in A026374 that have s(n)=3; also a(n) = T(2n-1,n-2).at n=5A026379
- Numbers k such that 91*2^k+1 is prime.at n=4A032395
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=35A039880
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=17A045013
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=32A051897
- Numbers n such that 5*10^n-1 is prime.at n=10A056712
- McKay-Thompson series of class 39A for Monster.at n=40A058659
- a(n) = n! * Sum_{ 0<=i<=j<=k<=n, i+j+k<=n } 1/(i!*j!*k!).at n=6A076177
- Numbers k such that A068340(k)=+/-3.at n=3A077031
- Expansion of (1-3*x-sqrt(9*x^2-10*x+1))/(2*x).at n=5A082298
- Records in A086183.at n=11A086186
- Expansion of solution to xA(x)(A(x)-x+1)=A(xA(x)).at n=13A091600
- Number of partitions of n into parts not congruent to 0, 2, 12, 14, 16, 18, 20, 30 (mod 32).at n=37A115671
- Number of rooted trees with total weight n, where the weight of a node at height k is k (with the root considered to be at level 0).at n=29A117356
- Connell (5,3)-sum sequence (partial sums of the (5,3)-Connell sequence).at n=47A122795
- Binomial matrix applied to A111418.at n=22A126791
- Even pseudoprimes to base 13.at n=6A130435
- a(n) = Sum{k=0..n} C(n,3k+1)^2.at n=8A139468
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, 0), (1, 1, -1), (1, 1, 0)}.at n=8A149105