5143
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5320
- Proper Divisor Sum (Aliquot Sum)
- 177
- 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
- 4968
- Möbius Function
- 1
- Radical
- 5143
- 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
- 54
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 9 positive 7th powers.at n=25A003376
- Coordination sequence T2 for Zeolite Code MTT.at n=44A008190
- Coordination sequence T1 for Zeolite Code VET.at n=43A009902
- Expansion of 1/((1-4*x)*(1-7*x)*(1-12*x)).at n=3A019628
- Ceiling of Gamma(n+2/5)/Gamma(2/5).at n=8A020129
- Number of increasing rooted 2,3 cacti (triangular cacti with bridges) with n-1 nodes.at n=7A032035
- Decimal concatenation of n-th lucky number and n-th prime number.at n=13A032604
- Positive numbers having the same set of digits in base 6 and base 10.at n=19A037437
- Numbers whose base-5 representation contains exactly two 1's and three 3's.at n=33A045243
- Numbers n such that sigma (phi ( n ) ) = sigma (sigma (n ) ) where phi is Euler's totient and sigma is the multiplicative sum-of-divisors function.at n=6A065556
- Composite numbers k such that the continued fraction for k/m contains no 2 for any 1 <= m <= k.at n=17A082409
- a(1) = 3; a(n) = smallest number such that the forward as well as the reverse n-th partial concatenation is a prime for n>1. (Reverse concatenation is taken term-wise and not digit-wise).at n=27A083993
- Number of parts in all compositions of n into distinct parts.at n=18A097910
- Numbers n such that the numbers of divisors of n,n+1 and n+2 are k,2k,4k respectively for some k.at n=37A100363
- Number of partitions of n into "number of partitions of n into 'number of partitions of n into partition numbers' numbers" numbers.at n=44A130899
- Number of simple connected nonplanar graphs on n nodes.at n=8A145270
- Vertex number of a rectangular spiral related to prime numbers. The distances between nearest edges of the spiral that are parallel to the initial edge are the prime numbers, while the distances between nearest edges perpendicular to the initial edge are all one.at n=42A160792
- Number of binary strings of length n with no substrings equal to 0001 0111 or 1100.at n=14A164484
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 3 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=18A166053
- Magic constants of 5 X 5 magic squares which consist of consecutive primes.at n=19A176571