9277
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9278
- 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
- 9276
- Möbius Function
- -1
- Radical
- 9277
- 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
- 60
- 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
- 1148
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = n OR n^3 (applied to binary expansions).at n=20A008468
- Next prime after n^3.at n=21A014220
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=22A020382
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.at n=20A031422
- Upper prime of a difference of 20 between consecutive primes.at n=14A031939
- Denominators of continued fraction convergents to sqrt(614).at n=11A042179
- Primes of the form F(i)^3 + F(j)^4, where F() are Fibonacci numbers.at n=6A046973
- Numbers n such that n and n+4^k are all primes for k=1,2,3.at n=23A049493
- a(n) and a(n)+4^k are primes at least for k=1,2,3,4.at n=11A049494
- a(n) and a(n)+4^k are primes at least for k=1,2,3,4,5.at n=4A049495
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=22A052164
- Prime sum of n-th group of successive primes in A073684.at n=34A073682
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 6.at n=43A075586
- a(1)=a(2)=1, a(n)=a(n-1)+a(n-2) if n is odd, a(n)=a(n-1)+a(n/2) if n is even.at n=25A078912
- Rank of K-groups of Furstenberg transformation group C*-algebras of n-torus.at n=18A084239
- Primes p of the form 2*prime(k) + 3 such that 2*prime(k+1) + 3 is the next prime after p.at n=24A089528
- Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=9A091365
- Smallest prime p such that p+n is the product of exactly n distinct primes.at n=4A097977
- Primes of the form a^4 + b^3 with b>0.at n=21A100271
- G.f.: Product_{k>0} (1+x^k)/((1-x^k)*(1+x^(3k))*(1+x^(5k))).at n=24A100823