5744
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
- 10
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 5416
- 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
- 2864
- Möbius Function
- 0
- Radical
- 718
- Omega Function (Ω)
- 5
- 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
- Restricted partitions.at n=13A001981
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LEV = Levyne Ca9[Al18Si36O108].50H2O starting with a T2 atom.at n=5A019025
- Fibonacci sequence beginning 2, 14.at n=14A022369
- The sequence M(n) in A022905.at n=24A022908
- Discriminants of totally real quartic fields.at n=23A023680
- a(n) = Lucas(n+4) - 2*(n+3).at n=14A027181
- Triangle of numbers a(n,k) = number of balance positions when k equal weights are placed at a k-subset of the points {-n, -(n-1), ..., n-1, n} on a centrally pivoted rod.at n=52A047997
- Numbers k such that k^256 + 1 is prime.at n=18A056995
- Smallest number m such that m^2+1 is divisible by A002144(n)^2 (= squares of primes congruent to 1 mod 4).at n=12A059321
- Generalized sum of divisors function: third diagonal of A060047.at n=26A060046
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 65 ).at n=38A063338
- Map from binary trees of size n to the set of corresponding trivalent plane trees (tpt) represented as size 2n+1 general trees.at n=16A083930
- Number of one-element transitions among all integer partitions of the integers from m=0 to m=n in the unlabeled case.at n=14A096586
- a(n) is the number of coverings of 1..n by cyclic words of length n, such that each value from 1 to n appears precisely 3 times. That is, the union of all the letters in all of the words of a given covering is the multiset {1,1,1,2,2,2,...,n,n,n}. Repeats of words are not allowed in a given covering.at n=5A110105
- Number of binary sequences of length n with no subsequence 01110.at n=13A118891
- Expansion of q * psi(q^8) / phi(-q) in powers of q where psi(), phi() are Ramanujan theta functions.at n=19A123655
- Numbers k such that k * Fibonacci(k) - 1 is prime.at n=18A134580
- Number of ways to toss a coin n times and not get a run of five.at n=13A135492
- 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, 0), (-1, 0, 0), (1, 1, -1), (1, 1, 1)}.at n=8A149259
- a(n) = Sum_{k=1..n} binomial(n,k) * d(k), where d(k) = the number of positive divisors of k.at n=10A160399