5536
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10962
- Proper Divisor Sum (Aliquot Sum)
- 5426
- 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
- 2752
- Möbius Function
- 0
- Radical
- 346
- Omega Function (Ω)
- 6
- 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
- 36
- 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
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) for n >= 4 with a(0) = a(1) = a(2) = 0 and a(3) = 1.at n=17A000078
- Coordination sequence T4 for Zeolite Code MFI.at n=47A008167
- Coordination sequence T7 for Zeolite Code MFS.at n=46A008179
- Expansion of 1/((1-x)(1-4x)(1-7x)(1-12x)).at n=3A021894
- Number of distinct prime signatures of the positive integers up to 2^n.at n=42A025488
- A sum with next-to-central binomial coefficients of even order, Catalan related.at n=5A029760
- 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 37.at n=21A031535
- "CGK" (necklace, element, unlabeled) transform of 1,3,5,7,...at n=11A032159
- Numbers k such that 91*2^k+1 is prime.at n=5A032395
- Gozinta numbers: possible number of gozinta chains for some positive integer.at n=50A034776
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 3, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n-1 <= 2^(p+1), with a(1) = 1 and a(2) = 2.at n=12A049960
- Number of ordered factorizations indexed by prime signatures: A074206(A025487).at n=44A050324
- Numbers k such that k*2^m+1 is prime for exactly one exponent m in the range 0<=m<=k.at n=43A061155
- Double partial sums of (n * its dyadic valuation).at n=32A090889
- a(n) = (15*n^2 + 5*n + 2)/2.at n=26A093500
- Number of (s(0), s(1), ..., s(n)) such that 0 < s(i) < 6 and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(n) = 4.at n=8A094306
- Triangle T(n,k), 0<= k <= n, read by rows; given by [0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, ...] DELTA [1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, ...] where DELTA is the operator defined in A084938.at n=33A094344
- Numbers n such that 9*10^n + 6*R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=15A103104
- Maximum value in row n of A113730 when interpreted as a triangle.at n=7A113734
- G.f.: (1+x^2)^2*(x^4-6*x^3+1)/(x^2-1)^4.at n=32A115046