10791
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17160
- Proper Divisor Sum (Aliquot Sum)
- 6369
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 3597
- Omega Function (Ω)
- 4
- 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
- 161
- Smith Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 10000*log_10(n) rounded down.at n=11A004228
- Odd heptagonal numbers (A000566).at n=33A014637
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=34A024847
- Expansion of 1/(1 - x - 2*x^2 - 2*x^3).at n=12A077946
- Expansion of 1/(1+x-2*x^2+2*x^3).at n=12A077970
- Partial sums of Chebyshev sequence S(n,10) = U(n,5) = A004189(n+1).at n=4A097784
- a(n) = n*(n+1)*(n+2)*(n+3)*(1+3*n+n^2)/120.at n=8A101094
- Heptagonal numbers for which the sum of the digits is also a heptagonal number.at n=16A117650
- Ulam's spiral (NNW spoke).at n=26A143860
- a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=2,a(2)=9.at n=35A154495
- a(n) = n*(10*n-3).at n=33A195018
- Number of partitions of n in which any two parts differ by at most 8.at n=38A218510
- Number of nX3 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX3 array.at n=4A219934
- T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array.at n=25A219939
- Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 5Xn array.at n=2A219943
- Number of 0..n arrays of length 5 with each element differing from at least one neighbor by something other than 1, starting with 0.at n=9A221543
- -9-Knödel numbers.at n=38A225513
- Numbers k such that Sum_{d|k} sigma(d)^3/d is an integer, where d are the divisors of k.at n=6A226566
- Number of pairs in generation n of the tree T defined in Comments.at n=24A252864
- Number of noncrossing path sets on n nodes up to rotation with each path having at least two nodes.at n=11A303844