3323
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
- 3324
- 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
- 3322
- Möbius Function
- -1
- Radical
- 3323
- 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
- 118
- 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
- 468
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest natural number requiring n letters in English.at n=36A001166
- Number of letters in English name for n increases at these numbers.at n=27A001619
- Primes of form n^2 + n + 17.at n=40A007635
- Coordination sequence T2 for Zeolite Code MEL.at n=37A008151
- Coordination sequence T1 for Zeolite Code MOR.at n=37A008182
- Number of partitions of n into parts >= 3.at n=44A008483
- Coordination sequence T3 for Zeolite Code RTH.at n=40A009895
- a(n) = Sum_{k=0..n} ceiling(k^3/n).at n=22A014813
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=33A019546
- Primes that contain digits 2 and 3 only.at n=6A020458
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=37A023244
- Primes that remain prime through 3 iterations of function f(x) = 2x + 7.at n=6A023275
- Every suffix is prime and contains no 0 digits in base 4 (written in base 4).at n=9A024779
- Number of partitions of n in which the least part is 3.at n=47A026796
- Primes p such that digits of p appear in p^2 and p^3.at n=22A030085
- 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 57.at n=8A031555
- Numbers using only digits 2 and 3.at n=27A032810
- Primes of the form x^2+74*y^2.at n=23A033248
- a(n) = 2*n^2 + 3*n + 3.at n=40A033816
- Number of partitions of n into parts not of the form 9k, 9k+2 or 9k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 3 are greater than 1.at n=37A035941