4906
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 3158
- 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
- 2220
- Möbius Function
- -1
- Radical
- 4906
- 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
- 41
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = floor(1000*log_2(n)).at n=29A004265
- Coordination sequence T2 for Keatite.at n=39A009845
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=37A020385
- Can express a(n) with the digits of a(n)^2 in order, only adding plus signs.at n=40A038206
- Expansion of 1/(1 - 2*x - x^2 - 2*x^3).at n=9A077938
- Record-setting differences between adjacent elements of the Mian-Chowla sequence variant A058335.at n=34A080931
- Maximal number of 1432 patterns in a permutation of 1,2,...,n.at n=23A100354
- a(n+1) = a(n)+floor(a(n)/3), a(1) = 3.at n=27A100585
- Start with 1 and repeatedly reverse the digits and add 65 to get the next term.at n=18A118163
- Number of fusenes with 23 hexagons, C_(2h) symmetry and containing 2n carbon atoms.at n=5A122096
- Positive integers k such that sopfr(k) divides sopfr(k+1), where sopfr(k) is the sum of the prime factors of k, counting multiplicity.at n=42A129316
- Number of pyramids which can be constructed using n 1 x 2 tiles placed on an integral grid, with the base block at a fixed position.at n=4A139397
- Shifts 2 places left under Dirichlet convolution.at n=23A144366
- Second heptagonal numbers: a(n) = n*(5*n+3)/2.at n=44A147875
- Triangle, read by rows, T(n, k) = ((n-k)/(n+k))*binomial(n+k, n) + (k/(2*n-k))*binomial(2*n -k, n), with T(0,0) = 1.at n=57A156006
- Triangle, read by rows, T(n, k) = ((n-k)/(n+k))*binomial(n+k, n) + (k/(2*n-k))*binomial(2*n -k, n), with T(0,0) = 1.at n=63A156006
- a(n) = (11*n^2 + 19*n + 10)/2.at n=29A160749
- Sums of prime points found in four grids in each corner of a square.at n=38A161190
- Sums of two successive primes s such that s+-3 are primes.at n=10A179485
- 1/16 the number of (n+1) X 6 0..3 arrays with all 2 X 2 subblocks having the same four values.at n=9A184035