9281
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9282
- 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
- 9280
- Möbius Function
- -1
- Radical
- 9281
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1149
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DOH = Dodecasil 1H [Si34O68].qR starting with a T2 atom.at n=12A019114
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=37A020362
- Fibonacci sequence beginning 1, 24.at n=14A022394
- Greatest prime divisor of prime(n)*prime(n-1) - 1.at n=50A023517
- Number of partitions in parts not of the form 13k, 13k+3 or 13k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=38A035951
- Number of colors that can be mixed with n >= 0 units of yellow, blue, red.at n=39A048241
- Primes whose consecutive digits differ by 6 or 7.at n=17A048418
- Numbers k such that 281*2^k + 1 is prime.at n=19A053357
- Primes p whose reciprocal has period (p-1)/10.at n=15A056215
- Primes p such that x^29 = 2 has no solution mod p.at n=38A059256
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=17A059287
- Primes p such that x^48 = 2 has no solution mod p, but x^24 = 2 has a solution mod p.at n=13A059669
- Let f(m) = smallest prime that divides k^2 + k + m for k = 0,1,2,...; sequence gives smallest m >= 2 such that f(m) is the n-th prime, or -1 if no such m exists.at n=11A060380
- Let f(m) = smallest prime that divides k^2 + k + m for k = 0,1,2,...; sequence gives smallest m >= 0 such that f(m) is the n-th prime.at n=11A060392
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=21A070184
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5.at n=17A075585
- Primes n*A092961(n) + 1.at n=28A092963
- Primes A005382(n) + A005384(n) - 1 with a twin prime A005382(n) + A005384(n) + 1.at n=15A099109
- Primes from merging of 4 successive digits in decimal expansion of exp(2).at n=17A105000
- Primes of the form 128n+65.at n=20A105129