3373
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3374
- 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
- 3372
- Möbius Function
- -1
- Radical
- 3373
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 43
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 476
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=37A001133
- Smallest natural number requiring n letters in English.at n=37A001166
- Number of letters in English name for n increases at these numbers.at n=28A001619
- Number of partitions of n into Fibonacci parts (with 2 types of 1).at n=29A007000
- Coordination sequence T7 for Zeolite Code DDR.at n=36A008077
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=46A011909
- Apply partial sum operator thrice to binary rooted tree numbers.at n=11A014169
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=34A019546
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=7A020372
- Primes that contain digits 3 and 7 only.at n=8A020463
- Least inverse of A001390, or 0 if no inverse exists.at n=21A020638
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=32A023261
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=27A023264
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=34A029732
- Primes p such that digits of p appear in p^2 and p^3.at n=24A030085
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 38.at n=0A031626
- Lower prime of a pair of consecutive primes having a difference of 16.at n=8A031934
- Substrings from the right are prime numbers (using only odd digits different from 5).at n=24A032437
- Primes of form x^2+29*y^2.at n=32A033219
- Primes of form x^2+87*y^2.at n=35A033256