5386
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
- 4
- Divisor Sum
- 8082
- Proper Divisor Sum (Aliquot Sum)
- 2696
- 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
- 2692
- Möbius Function
- 1
- Radical
- 5386
- Omega Function (Ω)
- 2
- 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
- 67
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=30A000837
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=3A020394
- a(n+1) = a(n) converted to base 4 from base 3 (written in base 10).at n=12A023367
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 5.at n=29A031418
- Number of partitions satisfying 0 < cn(1,5) + cn(4,5).at n=30A039898
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=29A063340
- Indices of prime Fibonacci numbers, minus 1.at n=23A069744
- Reversible Smith numbers, i.e., Smith numbers whose reversal is also a Smith number.at n=39A104171
- Number of 2-anisohedral polyiamonds of order n.at n=26A121308
- Those n for which A140259(n) = A002264(n+11).at n=16A140260
- Smith numbers of order 2.at n=22A174460
- Inverse permutation to A190128.at n=42A190129
- G.f.: A(x) = Sum_{n>=0} x^(n*(n+1)/2) / Product_{k=1..n} (1-x^k)^(n-k+1).at n=20A206139
- Principal diagonal of the convolution array A213781.at n=23A213782
- G.f.: 1/(1 - q/G(0)) where G(k) = 1 - q^(k+1) / (1 - q^(k+1) / G(k+1) ).at n=10A227045
- Floor(1/s(n)), where s(n) = n*log(1+1/n) - (2n-1)/(2n).at n=41A227719
- Round(1/s(n)), where s(n) = n*log(1+1/n) - (2n-1)/(2n).at n=41A227720
- Indices of primes in A141523.at n=33A235862
- Positive integers n such that prime(n+i) is a primitive root modulo prime(n+j) for any distinct i and j among 0, 1, 2.at n=35A243837
- Number of (n+1) X (4+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=1A253491