5233
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5234
- 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
- 5232
- Möbius Function
- -1
- Radical
- 5233
- 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
- 28
- 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
- 696
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=31A000148
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=34A001134
- Number of weighted voting procedures.at n=12A005256
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=37A014755
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=41A019546
- Numbers k such that the continued fraction for sqrt(k) has period 81.at n=2A020420
- Least inverse of A001390, or 0 if no inverse exists.at n=36A020638
- Let q_k = p*(p+2) be product of k-th pair of twin primes; sequence gives values of p+2 such that (q_k)^2 > q_{k-i}*q_{k+i} for all 1 <= i <= k-1.at n=35A021007
- Primes which when concatenated with next 3 primes are also prime.at n=38A030472
- 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 20.at n=1A031608
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=28A031802
- Primes of form x^2 + 94*y^2.at n=40A033204
- Primes with first digit 5.at n=43A045711
- First partial sums of A048745; second partial sums of A048654.at n=8A048778
- Boris Stechkin's function.at n=23A055004
- Primes p such that x^56 = 2 has no solution mod p, but x^28 = 2 has a solution mod p.at n=35A059635
- Primes with 10 as smallest positive primitive root.at n=12A061323
- Primes with every digit a prime and the sum of the digits a prime.at n=26A062088
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=20A064396
- Primes associated with A066042.at n=36A066146