9137
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9138
- 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
- 9136
- Möbius Function
- -1
- Radical
- 9137
- 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
- 34
- 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
- 1133
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*(n-1)*(n-2)/7).at n=41A011889
- Suffixes of 357686312646216567629137 (all primes).at n=3A012885
- Powers of cube root of 5 rounded down.at n=17A017988
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=15A020396
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=29A023285
- Primes that remain prime through 3 iterations of function f(x) = 6x + 7.at n=8A023289
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=37A026064
- Substrings from the right are prime numbers (using only odd digits different from 5).at n=27A032437
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=29A039664
- Primes with first digit 9.at n=30A045715
- a(n) is the number of integers whose sum of divisors is 6^n.at n=18A048253
- Prime factors of numbers in A006521 (numbers k that divide 2^k + 1).at n=6A057719
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=16A059287
- Primes p such that x^48 = 2 has no solution mod p, but x^24 = 2 has a solution mod p.at n=12A059669
- Primes of the form k^2 + prime(k) + 1.at n=7A063461
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=53A068896
- Prime(n) and prime(n+4) use the same digits.at n=11A069796
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=20A070184
- a(1) = 2, a(n+1) is smallest prime factor of (2 * Product_{k=1..n} a(k)) + 1.at n=8A077073
- Primes with at least four digits such that sum of any three_neighbor_digits is prime; first and last digits are neighbors.at n=25A086259