1933
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1934
- 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
- 1932
- Möbius Function
- -1
- Radical
- 1933
- 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
- 24
- 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
- 295
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of trees of diameter 4.at n=25A000094
- Primes p of the form 3k+1 such that -sqrt(p) < sum_{x=1..p} cos(2*Pi*x^3/p) < sqrt(p).at n=43A000922
- Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=49A000960
- Primes with 5 as smallest primitive root.at n=40A001124
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=25A001133
- Sextan primes: p = (x^6 + y^6)/(x^2 + y^2).at n=10A002647
- Number of trivalent maps with n nodes.at n=6A005027
- Class 4- primes (for definition see A005109).at n=45A005112
- Primes p such that (p+1)/2 is prime.at n=33A005383
- Primes of the form k^2 + k + 41.at n=41A005846
- From relations between Siegel theta series.at n=19A006476
- Coordination sequence T1 for Zeolite Code EAB.at n=32A008082
- Coordination sequence T6 for Zeolite Code EUO.at n=27A008101
- Coordination sequence T4 for Zeolite Code FER.at n=27A008109
- Coordination sequence T2 for Zeolite Code MEI.at n=32A008147
- Expansion of tanh(x)/cos(tan(x)) (odd powers only).at n=3A009841
- Coordination sequence T2 for Zeolite Code RTE.at n=30A009891
- A B_2 sequence: a(n) = least value such that the sequence increases and pairwise sums of distinct terms are all distinct.at n=36A010672
- Numbers in which every prefix (in base 10) is 1 or a prime.at n=48A012883
- Primes of the form x^2 + 27y^2.at n=44A014752