2333
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2334
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 2332
- Möbius Function
- -1
- Radical
- 2333
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 345
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Cubes written in base 5.at n=6A004635
- Primes written in base 4.at n=42A004678
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=18A004784
- 5!(2n-6)!/n!(n-1)! is an integer.at n=23A004785
- Class 4+ primes (for definition see A005105).at n=43A005108
- From relations between Siegel theta series.at n=26A006476
- Coordination sequence T2 for Zeolite Code LOV.at n=32A008135
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=25A019546
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=5A020370
- Primes that contain digits 2 and 3 only.at n=5A020458
- Smallest nonempty set S containing prime divisors of 8k+5 for each k in S.at n=22A020618
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(7).at n=21A022771
- Number of partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n.at n=29A023893
- Every prefix prime in base 4 (written in base 4).at n=6A024764
- Right-truncatable primes: every prefix is prime.at n=27A024770
- a(n) = sum of the numbers between the two n's in A026346.at n=31A026349
- Triangle T(n,m) = Sum_{k=0..m} Catalan(n-k)*Catalan(k).at n=39A028364
- Triangle read by rows: T(n,m) = Sum Catalan(n-k)*Catalan(k), k=0..m.at n=49A028376
- Concatenate rows of triangle in A028364 (removing duplicates).at n=32A028378
- a(n) = prime(10*n - 5).at n=34A031910