2263
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2368
- Proper Divisor Sum (Aliquot Sum)
- 105
- 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
- 2160
- Möbius Function
- 1
- Radical
- 2263
- 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
- 37
- 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
- no
- Odd
- yes
Appears in sequences
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4), with a(0)=a(1)=0, a(2)=1, a(3)=2.at n=14A001630
- Prime numbers of measurement.at n=44A002049
- a(0) = 1, a(1) = 0, a(2) = -1; for n >= 3, a(n) = - a(n-2) + Sum_{ primes p with 3 <= p <= n} a(n-p).at n=52A002121
- Divisors of 2^45 - 1.at n=9A003550
- Least k such that binomial(k,n) has n or more distinct prime factors.at n=42A005733
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=51A006285
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=14A014088
- Conjectured number of irreducible multiple zeta values of depth n and weight 3n (confirmed up to n=7).at n=34A020999
- a(n) = n^2 + n + 7.at n=47A027692
- 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 47.at n=6A031545
- Numbers k such that s(k) + s(k+1) + ... + s(k+7) = t(k) + t(k+1) + ... + t(k+7).at n=5A033914
- Denominators of continued fraction convergents to sqrt(671).at n=9A042291
- Numbers k such that string 2,7 occurs in the base 8 representation of k but not of k-1.at n=40A044210
- Numbers n such that string 8,4 occurs in the base 9 representation of n but not of n-1.at n=30A044327
- Numbers n such that string 6,3 occurs in the base 10 representation of n but not of n-1.at n=24A044395
- Numbers n such that string 2,7 occurs in the base 8 representation of n but not of n+1.at n=40A044591
- Numbers n such that string 3,2 occurs in the base 8 representation of n but not of n+1.at n=39A044594
- Numbers n such that string 8,4 occurs in the base 9 representation of n but not of n+1.at n=30A044708
- Numbers n such that string 6,3 occurs in the base 10 representation of n but not of n+1.at n=24A044776
- Numbers having, in base 3, (sum of even run lengths)=(sum of odd run lengths).at n=38A044874