16253
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16254
- 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
- 16252
- Möbius Function
- -1
- Radical
- 16253
- 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
- 66
- 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
- 1889
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence for alpha-Mn, Position Mn2.at n=33A009951
- Expansion of Sum_{i>=0} q^i*theta_3^i.at n=14A032803
- Smallest prime with "n^2" as central digit(s).at n=25A038370
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21.at n=20A051962
- Primes p such that p-3 and p+3 are divisible by a cube.at n=14A089201
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=39A118507
- a(n) is the number of binary strings of length n+3 such that there exists a subsequence of length 4 with 2 ones in it.at n=10A118648
- Primes of the form 2*3*5*7*n+83.at n=38A141570
- Primes congruent to 35 mod 53.at n=36A142565
- Primes congruent to 28 mod 59.at n=29A142755
- Primes congruent to 27 mod 61.at n=30A142825
- a(n) = 1 if a(n-1) is prime, otherwise a(n-1) + a(n-2), with a(0) = 0 and a(1) = 1.at n=45A142878
- Primes that appear in the sequence: a(n) = 1 if a(n-1) is prime; otherwise a(n) = a(n-1)+a(n-2), with a(1) = 1.at n=10A142885
- Number of polyominoes with n cells whose symmetry group (excluding reflections) has order at least 2.at n=18A144554
- G.f. satisfies: A(x) = x + A((x+x^2)*A(x)) with A(0)=0.at n=11A154835
- Primes p such that p$ + 1 is also prime. Here '$' denotes the swinging factorial function (A056040).at n=8A163079
- Smallest prime q such that q + prime(n) is a power of 2.at n=31A191474
- Primes of the form 5n^2 + 8.at n=9A201486
- Number of 4-tuples (w,x,y,z) with all terms in {1,...,n} and w*x >= 2*y*z.at n=15A211809
- Partial sums of cuban primes A002407, that is, primes equal to the difference of two consecutive cubes.at n=16A221793