4458
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8928
- Proper Divisor Sum (Aliquot Sum)
- 4470
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1484
- Möbius Function
- -1
- Radical
- 4458
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- Coordination sequence T1 for Zeolite Code AEL.at n=44A008004
- Coordination sequence T2 for Zeolite Code NAT.at n=45A008204
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=43A023166
- Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=31A035982
- Numbers whose base-7 representation contains exactly three 6's.at n=29A043419
- Numbers whose base-4 representation contains exactly three 1's and three 2's.at n=20A045103
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 20.at n=32A051985
- Lesser of two successive squarefree numbers whose product is not squarefree.at n=41A077395
- Least k > n such that p(n) divides p(k), where p(k) denotes the k-th partition number (A000041).at n=26A079031
- Number of permissible patterns of primes in a fixed interval of n consecutive integers.at n=30A094660
- a(n) = 2*n^2 + n - 7.at n=47A100041
- Indices of primes in sequence defined by A(0) = 53, A(n) = 10*A(n-1) - 7 for n > 0.at n=13A101574
- Expansion of g.f.: Product_{n>=1} 1/(1 - 3^n*x^n)^(3/3^n).at n=7A110153
- Numbers k such that the k-th triangular number contains only digits {1,3,9}.at n=4A119122
- Numbers n such that 1 - Sum_{k=1..n-1} A001223(k)*(-1)^k = 0.at n=25A128039
- Turan's upper bound on the number of triangles of a simplicial complex of dimension two for which every minimal non-face has three vertices.at n=37A140462
- Cumulative sums of A031443.at n=36A145060
- 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, -1), (-1, 0, 0), (0, 0, 1), (1, 0, -1), (1, 1, 0)}.at n=7A150186
- Number of binary strings of length n with equal numbers of 0010 and 1101 substrings.at n=14A164173
- a(n) = 6*(24*n - 1).at n=30A187206