9502
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14256
- 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
- 4750
- Möbius Function
- 1
- Radical
- 9502
- 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
- 166
- 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
- yes
- Odd
- no
Appears in sequences
- Number of connected partially ordered sets with n "lines": pairs (a,b) where a < b and there is no c with a < c < b. The lines form the minimal basis for the partial ordering.at n=7A022017
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=26A025025
- 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 96.at n=16A031594
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=16A031824
- Number of balanced partitions of n: the largest part equals the number of parts.at n=49A047993
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=36A053020
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=46A061766
- Least k such that k*(Mersenne_prime(n)^2) + 1 is prime.at n=14A098819
- Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^(-6).at n=11A114358
- Number of numbers removed in each step of Eratosthenes's sieve for 10^6.at n=7A145539
- a(n) = Sum_{k=1..n^2} d(k), d(k) = number of divisors of k (A000005).at n=35A175346
- The minimum possible value for the apex of a triangle of numbers whose base consists of a permutation of the numbers 0 to n, and each number in a higher row is the sum of the two numbers directly below it.at n=12A189391
- Number of -n..n arrays x(0..2) of 3 elements with zeroth through 2nd differences all nonzero.at n=10A199944
- (1/2)*A206803.at n=28A206804
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209584; see the Formula section.at n=58A209583
- Consider the ordered Goldbach partitions of the even numbers m. Then a(n) is the least m which contains prime(n) such partitions composed of odd primes.at n=45A216047
- Number of partitions p of n such that max(p)-min(p) = 5.at n=48A218568
- Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=7A254899
- Numbers m > 3 such that m-1, m, m+1 belong to A307002.at n=33A340748