4538
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6810
- Proper Divisor Sum (Aliquot Sum)
- 2272
- 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
- 2268
- Möbius Function
- 1
- Radical
- 4538
- 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
- 64
- 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
- yes
- Odd
- no
Appears in sequences
- Number of points on surface of truncated tetrahedron: a(n) = 14*n^2 + 2 for n > 0, a(0)=1.at n=18A005905
- Coordination sequence T1 for Zeolite Code NES.at n=43A008205
- Numbers k such that the continued fraction for sqrt(k) has period 15.at n=23A020354
- a(n) = A026637(2*n, n).at n=7A026638
- a(n) = A026637(n, floor(n/2)).at n=14A026643
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 19.at n=0A031607
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/11) starts with n.at n=15A034076
- Numbers m such that m^2 ends in 444.at n=18A039685
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(1,5) + cn(4,5).at n=30A039895
- Denominators of continued fraction convergents to sqrt(994).at n=8A042925
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 15.at n=8A051980
- Average of terms in n-th row of A077529.at n=32A077532
- Values of n corresponding to the terms in sequence A080155. For any k, the concatenation of the a(1) to a(k)-th primes is prime and each value of k is the smallest for which this is true.at n=41A080156
- Number of configurations of the 5 X 5 variant of sliding block 15-puzzle ("24-puzzle") that require a minimum of n moves to be reached, starting with the empty square in one of the corners.at n=10A090031
- Sum of the sides of ordered 2 prime sided prime triangles.at n=44A105092
- Bond percolation series for 4.8 (bathroom tile) lattice.at n=25A120553
- Number of binary strings of length n with no substrings equal to 0001, 0100, or 1011.at n=21A164466
- Number of 2n-digit primes that are concatenation of n two-digit distinct primes p_1...p_n: 10<p_1<p_2<...<p_n>98.at n=13A168519
- Number of partitions of n^2 into three distinct primes.at n=56A183168
- G.f.: Sum_{n>=0} x^n/Product_{k=1..n} (1 - A002203(k)*x^k + (-1)^k*x^(2*k)), where A002203 is the companion Pell numbers.at n=9A206141