5845
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
- 8
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 2219
- 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
- 3984
- Möbius Function
- -1
- Radical
- 5845
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 98
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Triangle read by rows: 4th power of the lower triangular mean matrix (M[i,j] = 1/i for i <= j).at n=6A027448
- a(n) is the numerator of (-1/6) * Integral_{x=0..1} x^n * log^3(1-x) dx.at n=3A027462
- Molien series for unitary 16-dimensional full Siegel modular group H_4 of order 48514675507200.at n=18A027672
- Expansion of 1/((1-3x)(1-4x)(1-6x)(1-12x)).at n=3A028037
- Numbers whose set of base-11 digits is {3,4}.at n=27A032835
- Expansion of Molien series for 16-dimensional complex Clifford group of genus 4 and order 97029351014400.at n=9A051354
- Numbers k > 1 such that, in base 6, k and k^2 contain the same digits in the same proportion.at n=3A061660
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 71 ).at n=28A063344
- Primonacci numbers: a(n)=a(n-2)+a(n-3)+a(n-5)+a(n-7)+a(n-11)+...+a(n-p(k))+... until n <= p(k), where p(k) is the k-th prime. a(1)=a(2)=1.at n=24A078465
- Numbers n such that RevBinary(RevDecimal(n))=RevDecimal(RevBinary(n)), where RevDecimal(n) is the decimal reversal of n (A004086) and RevBinary(n) is the binary reversal of n (A030101).at n=37A081433
- Numbers such that RevBinary() = RevDecimal(), where RevDecimal(n) is the decimal reversal of n (A004086) and RevBinary(n) is the binary reversal of n (A030101).at n=16A081434
- a(n) = (prime(n)+1)*n - 1.at n=36A083723
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^3*(1 - x^3)).at n=28A092498
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal.at n=29A098499
- 0 together with numbers k such that 4*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=10A099412
- Number of partitions of n in which the number of parts is relatively prime to n.at n=33A102628
- Record values in A062039.at n=45A123643
- Triangle read by rows: T(n,k) is the number of permutations of [n] for which the shortest cycle length is k (1<=k<=n).at n=29A145877
- Products of 3 distinct safe primes.at n=14A157354
- Derangements with at least one 2-cycle.at n=8A158243