15233
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15234
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15232
- Möbius Function
- -1
- Radical
- 15233
- 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
- 84
- 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
- 1778
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 87.at n=7A020426
- a(n) = the smallest prime p such that there are exactly n sets of consecutive primes, each of which has an arithmetic mean of p.at n=7A082431
- Primes of the form 256n+129.at n=16A105130
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=28A119595
- Primes congruent to 22 mod 53.at n=31A142552
- Primes congruent to 11 mod 59.at n=30A142738
- Primes congruent to 44 mod 61.at n=28A142842
- Prime numbers q of primitive Pythagorean triangles such that perimeters are averages of twin prime pairs, p+1=q(prime), a=q^2-p^2, c=q^2+p^2, b=2*p*q, ar=a*b/2; s=a+b+c, s-+1 are primes.at n=25A155187
- Regular coverings having dihedral voltage groups: see Kwak-Lee reference in A160870 for precise definition.at n=4A160884
- Primes with eight embedded primes.at n=4A179916
- Primes of form a^2+b^2 such that a^4+b^4 and a^8+b^8 are primes.at n=12A182313
- Primes of the form 128*k + 1.at n=28A208177
- Number of days after Mar 01 00 such that the date written in the format DD.MM.YY is palindromic.at n=13A210887
- Prime numbers > 10000 such that all the substrings of length >= 4 are primes (substrings with leading '0' are considered to be nonprime).at n=15A211686
- Least prime q satisfying q^p == 1 (mod 2p+1) and p^q == 1 (mod 2q+1), or 0 if otherwise, where p = prime(n).at n=16A220295
- a(n) = 384*n + 257.at n=39A229855
- Primes of the form 384*k + 257.at n=14A229856
- Number of distinct terms in row n of triangle A230871.at n=16A231331
- Primes p such that p+8, p+86, p+864 are prime.at n=19A236302
- Primes formed from concatenation of PrimePi(n) and prime(n).at n=19A236551