8092
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
- 18
- Divisor Sum
- 17192
- Proper Divisor Sum (Aliquot Sum)
- 9100
- 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
- 3264
- Möbius Function
- 0
- Radical
- 238
- 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
- 158
- 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
- Generalized Stirling numbers of second kind.at n=4A000559
- Central quadrinomial coefficients: largest coefficient of (1 + x + x^2 + x^3)^n.at n=8A005190
- Central quadrinomial coefficients.at n=4A005721
- Expansion of x/ (1-4*x+16*x^2)^(3/2).at n=7A012125
- a(n) = 7*n^2.at n=34A033582
- Scan decimal expansion of e until all n-digit strings have been seen; a(n) is number of digits that must be scanned.at n=2A036904
- Matrix square of Stirling2 triangle A008277: 2-levels set partitions of [n] into k first-level subsets.at n=23A039810
- Triangle of generalized Stirling numbers of 2nd kind.at n=25A046817
- a(n) = floor(a(n-1)*3/2) with a(1) = 2.at n=21A061418
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=36A063350
- a(n) = 28*n^2.at n=17A064763
- Maximal value of Sum_{i=1..n} (p(i) - p(i+1))^2, where p(n+1) = p(1), as p ranges over all permutations of {1, 2, ..., n}.at n=28A064842
- a(n) = n*(n^2+3*n-1)/3.at n=28A084990
- a(n) = Sum_{k=0..n} (-1)^(n-k)*A000041(k).at n=35A087787
- Numbers, not divisible by 10, whose digits can be permuted to get a proper divisor.at n=39A096093
- For a given unrestricted partition pi, let P(pi)=lambda(pi), if mu(pi)=0. If mu(pi)>0 then let P(pi)=nu(pi), where nu(pi) is the number of parts of pi greater than mu(pi), mu(pi) is the number of ones in pi and lambda(pi) is the largest part of pi.at n=34A100818
- Square of the Stirling2 matrix A048993.at n=31A130191
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 1, -1), (1, 0, 0), (1, 1, -1), (1, 1, 1)}.at n=7A150595
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 0, 0), (1, 0, 0), (1, 1, 1)}.at n=7A150689
- Numbers n such that 9n^2 is a zeroless pandigital number.at n=17A162859