5416
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10170
- Proper Divisor Sum (Aliquot Sum)
- 4754
- 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
- 2704
- Möbius Function
- 0
- Radical
- 1354
- Omega Function (Ω)
- 4
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=18A020401
- Numbers k such that Fib(k) == -21 (mod k).at n=44A023168
- 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 35.at n=31A031533
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=31A031800
- Number of ways to partition n labeled elements into pie slices of different sizes other than one.at n=10A032146
- Number of partitions of n into parts not of the form 11k, 11k+4 or 11k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=35A035947
- Numbers having three 7's in base 9.at n=10A043483
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=8A045247
- Row 5 of array in A047666.at n=7A047669
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 87 ).at n=26A063360
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=21A092231
- 47-gonal numbers.at n=15A095311
- Numbers n such that p(3n) is prime, where p(n) is the number of partitions of n.at n=34A111389
- Number of partitions of n into "number of partitions of n into partition numbers" numbers.at n=40A130898
- Numbers A141427(k) such that the three numbers A141427(k) -/+ 3 and A141427(k) + 1 are all prime.at n=41A144206
- A new general triangle sequence based on the Eulerian form in three parts:m=2; t0(n,k)=If[n*k == 0, 1, Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]] t(n,k,m)=If[n == 0, 1, ( m*(n - k) + 1)*t0(n - 1 + 1, k - 1) + (m*k + 1)*t0(n - 1 + 1, k) + m*k*(n - k)*t0(n - 2 + 1, k - 1)].at n=24A157178
- a(n) = 361*n + 1.at n=14A158310
- Discriminants of imaginary quadratic fields with class number 22 (negated).at n=37A171724
- a(n) = ceiling(A029826(n)/2).at n=68A173894
- Number of arrangements of n+1 nonzero numbers x(i) in -3..3 with the sum of trunc(x(i)/x(i+1)) equal to zero.at n=4A189539