8267
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9456
- Proper Divisor Sum (Aliquot Sum)
- 1189
- 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
- 7080
- Möbius Function
- 1
- Radical
- 8267
- 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
- 127
- Smith Number
- no
- 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
- no
- Odd
- yes
Appears in sequences
- a(1) = 1; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=47A074336
- Triangle A054521 * A157019, where A054521 = an infinite lower triangular matrix and A157019 = a vector [1, 2, 2, 4, 2, 8, 2, 10, 8, ...].at n=48A157031
- a(n) = 169*n^2 - 2*n.at n=6A158218
- Number of Golomb rulers of length n.at n=30A169942
- Triangle, read by rows, T(n, k) = Sum_{j=0..k} (n+k)!/((n-j)!*(k-j)!*j!) + Sum_{j=0..n-k} (2*n-k)!/((n-j)!*(n-k-j)!*j!).at n=17A176081
- Triangle, read by rows, T(n, k) = Sum_{j=0..k} (n+k)!/((n-j)!*(k-j)!*j!) + Sum_{j=0..n-k} (2*n-k)!/((n-j)!*(n-k-j)!*j!).at n=18A176081
- Least k > 1 such that tri(n)+ ... + tri(n+k-1) is a triangular number.at n=53A214697
- A bisection of A183168.at n=30A215933
- Records in A096335 (positions).at n=12A221182
- Number of symmetric meander shapes with 2n+1 crossings.at n=10A223096
- G.f. satisfies: 2*A(x) = 1 + x + A(x*A(x)).at n=7A242003
- As a binary numeral, the bit 2^(m-1) of a(n) is 1 iff m is a proper divisor of n.at n=27A247146
- Odd numbers k such that A098548(k) is not a multiple of 3.at n=28A251540
- Number of (n+2) X (4+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1.at n=17A257443
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 598", based on the 5-celled von Neumann neighborhood.at n=30A273151
- Numbers of the form Sum_{e in S} 2^(e-1) where S is a finite set of positive integers such that any element of S divides the sum of the elements of S.at n=27A337744
- Discriminants of imaginary quadratic fields with class number 30 (negated).at n=37A351668
- Dimension of the space of Siegel cusp forms of genus 3 and weight 2n.at n=44A352095
- Expansion of e.g.f. ( Product_{k>0} 1/(1 - x^k/k!) )^x.at n=7A356579
- Number of pairs (p,q) of partitions of n such that the set of parts in q is a proper subset of the set of parts in p.at n=18A369910