5164
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9044
- Proper Divisor Sum (Aliquot Sum)
- 3880
- 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
- 2580
- Möbius Function
- 0
- Radical
- 2582
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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
- Coordination sequence T1 for Moganite.at n=46A008258
- Coordination sequence T5 for Zeolite Code VNI.at n=44A009911
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between pairs.at n=30A015636
- Discriminants of quintic fields with 4 complex conjugates.at n=27A023685
- Numbers whose square with its last digit deleted is also a square.at n=18A031149
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=4A031822
- XOR-convolution of squares A000290 with themselves.at n=19A033460
- T(n,n-2), array T as in A047089.at n=7A047093
- Triangle of numbers a(n,k) = number of permutations on n letters containing k 3-sequences (n >= 0, 0<=k<=max(0,n-2)).at n=51A047921
- a(n)^2 is the smallest square containing exactly n 6's.at n=4A048351
- Number of step cyclic shifted sequences using a maximum of four different symbols.at n=8A056412
- a(n) is the total radius of gyration of all self-avoiding polygons of length 2n on the square lattice.at n=3A056621
- Numbers k for which 10*2^k + 3 is a prime (giving terms of A068712).at n=40A068713
- Number of hexagons that can be formed with perimeter n. In other words, partitions of n into six parts such that the sum of any 5 is more than the sixth.at n=52A069907
- Triangle read by rows: T(n,k) = number of Schroeder paths of length 2n and having k ascents.at n=38A090981
- Number of A095747-primes in range ]2^n,2^(n+1)].at n=29A095757
- Triangle read by rows: T(n,k) is the number of ordered trees having n edges and k branches of length 2.at n=31A101307
- Positive integers k such that k^20 + 1 is semiprime (A001358).at n=24A105282
- Triangle T(n, k) = (k-n)*A000129(k+1) + (3*n-3*k+1)*A000129(k) with T(n,0) = 1, for 0 <= k <= n-1, read by rows.at n=76A117895
- Series expansion for mean-squared radius of gyration of convex polygons on square lattice.at n=4A121777