9257
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9258
- 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
- 9256
- Möbius Function
- -1
- Radical
- 9257
- 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
- 259
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1147
- 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 45.at n=23A020384
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=19A030653
- Upper prime of a difference of 16 between consecutive primes.at n=30A031935
- Lower prime of a difference of 20 between consecutive primes.at n=14A031938
- The 20 primes inside the 4 X 4 matrix with all the rows, columns and major diagonals being reversible non-palindromic and distinct primes (the smallest prime-magical square): [ 1933, 1283, 9551, 3719 ].at n=17A032530
- Primes with first digit 9.at n=44A045715
- Numbers k such that 41^k - 40^k is prime.at n=5A062607
- a(1) = 1, a(n+1) is the sum of a(n) and floor( arithmetic mean of a(1) ... a(n) ).at n=36A065094
- Primes p such that 3p is equidistant from consecutive prime twin pairs.at n=45A074931
- Largest prime < n^3.at n=19A077037
- Non-palindromic primes which on subtracting their reversal gives perfect cubes.at n=12A080178
- Primes which are also prime if their base 32 representation is interpreted as a base 10 number.at n=44A090716
- a(n) = 1 + 2 * least i such that A103509(i)=n+1, 0 if no such i exists.at n=36A103510
- Prime numbers p such that primepi(p) + p is a square.at n=12A104269
- Partial sums of hexagonal numbers with prime indices.at n=11A117962
- a(1)=2, a(2)=3, a(3)=5; a(n) = largest prime < a(n-1)+a(n-2)+a(n-3).at n=15A126092
- Prime numbers p such that p = prime(n+4)=(prime(n+8)+prime(n))/2.at n=44A126242
- List of primitive prime divisors of the Somos-4 sequence (A006720) in their order of occurrence.at n=9A129741
- Prime numbers, isolated from neighboring primes by more than 12.at n=21A137873
- Prime numbers, isolated from neighboring primes by >14.at n=13A137874