5308
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
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9296
- Proper Divisor Sum (Aliquot Sum)
- 3988
- 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
- 2652
- Möbius Function
- 0
- Radical
- 2654
- 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
- Expansion of a modular function for Gamma_0(14).at n=18A002509
- Powers of fourth root of 14 rounded to nearest integer.at n=13A018085
- Powers of fourth root of 14 rounded up.at n=13A018086
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,1,2,1.at n=10A025271
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 36.at n=39A031534
- Multiplicity of highest weight (or singular) vectors associated with character chi_35 of Monster module.at n=47A034423
- Numbers ending with '8' that are the difference of two positive cubes.at n=22A038863
- (n+4)^3 - n^3.at n=18A038866
- Denominators of continued fraction convergents to sqrt(393).at n=10A041747
- Number of partitions of n with some part repeated.at n=30A047967
- Number of 2 X 2 matrices with elements from {0,1,2,...,n} and with Nim-Determinant 1. (The Nim-Determinant of the 2 X 2 matrix [a,b; c,d] is defined to be a*d xor b*c, where * denotes Nim-Multiplication.)at n=23A059954
- Natural numbers of the form p^3 - q^3, where p and q are primes.at n=23A086120
- Fundamental discriminants of real quadratic number fields with class number 5.at n=25A094614
- a(n) = Min{x : A073124(x) = 2n}.at n=31A096480
- Numbers n such that n^2+n+41 (Euler's "prime generating polynomial") is not squarefree.at n=30A097823
- Expansion of Im(x/(1 - x - 2*i*x^2)), i=sqrt(-1).at n=16A106202
- Number of partitions of n having exactly 1 part that appears exactly once.at n=38A116596
- Expansion of (1 - 3x)/(1 - x + 2x^2 - x^3).at n=30A119303
- Difference between successive primes cubed: a(n) = prime(n+1)^3 - prime(n)^3.at n=7A129701
- Irregular triangle read by rows: the number of hydrocarbon structures that can be drawn with a given number of carbons and units of unsaturation.at n=46A134819