2914
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4608
- Proper Divisor Sum (Aliquot Sum)
- 1694
- 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
- 1380
- Möbius Function
- -1
- Radical
- 2914
- Omega Function (Ω)
- 3
- 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
- 35
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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 switching networks with S(n) and C(2,2) acting on the domain and GL(3,2) acting on the range.at n=2A000875
- 1 + Sum_{n>=1} a_n x^n = Product_{n>=1} (1-x^n)^prime(n).at n=26A007441
- Sum of the first n primes.at n=39A007504
- Coordination sequence T1 for Zeolite Code CON.at n=38A009868
- Fibonacci sequence beginning 2, 19.at n=12A022119
- 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 52.at n=16A031550
- Numbers k such that 193*2^k+1 is prime.at n=22A032473
- Trajectory of 1 under map n->45n+1 if n odd, n->n/2 if n even.at n=8A033978
- Multiplicity of highest weight (or singular) vectors associated with character chi_4 of Monster module.at n=43A034392
- Numerators of continued fraction convergents to sqrt(665).at n=7A042278
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n-1.at n=32A044346
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n+1.at n=32A044727
- Twice second pentagonal numbers.at n=31A049451
- Composite numbers arising as sum of first k primes.at n=32A053790
- n satisfying sigma(n+1) = sigma(n-1).at n=10A055574
- Number of integers in the range (2^(n-1), 2^n] for which d(k)^3 > k holds, i.e., the cube of the number of divisors of k exceeds the number k.at n=18A056763
- McKay-Thompson series of class 17A for the Monster simple group.at n=14A058530
- McKay-Thompson series of class 55A for the Monster group.at n=54A058713
- Number of right triangles of a given area required to form successively larger squares.at n=26A060626
- Numbers k such that floor(k*e) is a square.at n=31A062268