6920
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15660
- Proper Divisor Sum (Aliquot Sum)
- 8740
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2752
- Möbius Function
- 0
- Radical
- 1730
- Omega Function (Ω)
- 5
- 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
- 150
- 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
- Expansion of 1/((1-6x)(1-8x)(1-12x)).at n=3A020594
- 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 41.at n=26A031539
- a(n) = n * prime(n).at n=39A033286
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=43A039624
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=29A063366
- Smallest member of triple of consecutive numbers each of which is the sum of two different nonzero squares.at n=35A064715
- Smallest member of three consecutive numbers each of which is the sum of two nonzero squares (not necessarily different).at n=41A064716
- Lesser of three consecutive nonsquare integers each of which is the sum of two squares.at n=34A073412
- a(n) is the smallest number k such that A073813(k) = prime(n).at n=23A073814
- Position of A075165(n) in A014486 plus one.at n=45A075163
- Even elements of A082931.at n=34A082933
- G.f.: 1/((1-x)^2*(1-x^2)*(1-x^4)*(1-x^8)*(1-x^16)).at n=46A088954
- Numbers k such that k-th semiprime == 2 (mod k).at n=7A106127
- 3*Volume of the root-n Waterman polyhedron as defined in A119870.at n=35A119873
- a(n) is such that the a(n)-th composite number is (n-th prime)^2.at n=23A120389
- Number of digits in the n-th Woodall prime.at n=21A137811
- A triangular sequence designed with row sums near 3^n: t(n,m)=If[m == 0 || m == n, Floor[3^n/2^n], Floor[(3^n/2^n)*Binomial[n, m]] + 1].at n=58A153289
- Product matrix [C(k,n-k)]*A001263.at n=40A162303
- a(n) = (11*n^2 + 11*n - 20)/2.at n=34A166144
- Second entry in row n of triangle in A169950.at n=23A169952