5746
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9882
- Proper Divisor Sum (Aliquot Sum)
- 4136
- 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
- 2496
- Möbius Function
- 0
- Radical
- 442
- Omega Function (Ω)
- 4
- 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
- 173
- 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
- Numbers that are the sum of 6 positive 6th powers.at n=42A003362
- Expansion of Product_{k>=1} (1 - x^k)^(-k^3).at n=7A023872
- Theta series of A*_12 lattice.at n=24A023924
- Expansion of 1/((1-4x)(1-6x)(1-7x)(1-9x)).at n=3A028131
- Numbers each of whose runs of digits in base 12 has length 2.at n=42A033010
- Number of 4-ary rooted trees with n nodes and height exactly 4.at n=19A036628
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=36A045258
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 3 skipped primes.at n=38A050770
- a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms.at n=47A054016
- Numbers k such that 3*2^k + 7 is prime.at n=28A059746
- Triangle defined in A064641 read by rows.at n=40A064642
- Positions of check bits in code in A075934.at n=34A075936
- Triangle read by rows: T(n,k) is the number of series-reduced planted trees with n leaves and k internal nodes.at n=62A106179
- O.g.f.: A(x) = 1/(1-1*x/(1-3*x/(1-5*x/(1-7*x/(1-...-(2n-1)*x/(1-...)))))) (continued fraction).at n=5A128709
- Scaled convolution of (n^3)*A000984(n) with A000984(n).at n=12A142962
- Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is Euler transform of (j->j^k).at n=62A144048
- a(n) = n*(2*n^2 + 5*n + 13)/2.at n=17A163655
- Multiples of 13 whose reversal - 1 is also a multiple of 13.at n=35A166397
- Totally multiplicative sequence with a(p) = 7p-1 for prime p.at n=19A166656
- Inverse of coefficient array of orthogonal polynomials P(n,x)=x*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x.at n=46A178104