5333
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5334
- 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
- 5332
- Möbius Function
- -1
- Radical
- 5333
- 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
- 116
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 706
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + 4.at n=16A005473
- Crystal ball sequence for hexagonal close-packing.at n=11A007202
- Multiplicity of trivial character in V_n, where V = Sum V_n is the graded module for the Monster simple group.at n=34A014810
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=45A019546
- Primes that contain digits 3 and 5 only.at n=5A020462
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=34A023253
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=42A023261
- Primes that remain prime through 3 iterations of function f(x) = 5x + 4.at n=12A023284
- Primes that remain prime through 4 iterations of function f(x) = 5x + 4.at n=4A023314
- Primes that remain prime through 5 iterations of function f(x) = 5x + 4.at n=0A023342
- Primes p whose digits do not appear in p^2.at n=48A030086
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=37A030480
- Lower prime of a pair of consecutive primes having a difference of 14.at n=30A031932
- Numbers k such that if d,e are consecutive digits of k in base 6, then |d-e| >= 4.at n=33A032988
- Numerators of continued fraction convergents to sqrt(162).at n=7A041298
- Numerators of continued fraction convergents to sqrt(515).at n=7A041984
- Numerators of continued fraction convergents to sqrt(593).at n=7A042136
- Numbers having three 3's in base 10.at n=31A043503
- Numbers whose base-2 representation has exactly 11 runs.at n=29A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=32A043686