2296
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 2744
- 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
- 960
- Möbius Function
- 0
- Radical
- 574
- 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
- 45
- 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
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=28A000567
- Generalized sum of divisors function.at n=35A002132
- Shifts 2 places left under binomial transform.at n=10A007476
- a(n) = 2*a(n-1) + a(n-3), with a(0)=1 and a(1)=2.at n=10A008998
- a(n) = floor(n*(n-1)*(n-2)/30).at n=42A011912
- E.g.f.: arctan(sec(x)*log(x+1)) = x - 1/2!*x^2 + 3/3!*x^3 - 37/5!*x^5 + 345/6!*x^6 - ...at n=8A012775
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=14A014642
- Sum of gcd(x, y) for 1 <= x, y <= n.at n=30A018806
- Pseudoprimes to base 57.at n=23A020185
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=27A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=27A020337
- Pisot sequences E(4,9), P(4,9).at n=8A020708
- Fibonacci sequence beginning 3, 8.at n=13A022121
- a(n) = (prime(n+2)^2 - 1)/3.at n=20A024700
- Number of T-frame polyominoes with n cells.at n=32A028247
- Character of extremal vertex operator algebra of rank 16.at n=4A028537
- a(n) = (n + 3)^2 - 8.at n=45A028884
- Numbers whose set of base-9 digits is {1,3}.at n=24A032916
- Numbers in which all pairs of consecutive base-9 digits differ by 2.at n=52A033087
- Decimal part of n-th root of a(n) starts with digit 4.at n=21A034081