9127
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9128
- 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
- 9126
- Möbius Function
- -1
- Radical
- 9127
- 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
- 153
- 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
- 1131
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=29A005471
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=28A023285
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 95.at n=9A031593
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=33A031812
- Upper prime of a difference of 18 between consecutive primes.at n=36A031937
- Smallest prime == 1 mod (n^2).at n=38A035091
- Primes with first digit 9.at n=28A045715
- Primes p from A031924 such that A052180(p) = 23.at n=9A052238
- Primes p with property that p concatenated with its emirp p' (prime reversal) forms a palindromic prime of the form 'primemirp' (rightmost digit of p and leftmost digit of p' are blended together - p and p' palindromic allowed).at n=43A054217
- Numbers k such that 21^k - 20^k is prime.at n=6A062587
- Emirps which when concatenated with their reversals after a 0 make a palindromic prime of the form emirp0prime.at n=35A070954
- a(1) = 1, a(n) = smallest prime number not already used such that concatenation of a(k) and a(n) is composite for all k = 1 to n-1.at n=37A075612
- a(n) = prime(n*(n+1)/2+3).at n=47A078724
- Primes p such that p-1 and p+1 are both divisible by cubes (other than 1).at n=33A086708
- p(k) such that 2*p(k)+3 and 2*p(k+1) + 3 are consecutive primes, where p(i) denotes the i-th prime.at n=36A089527
- Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=10A089779
- Primes of the form 6*k^2 + 1.at n=10A090687
- Number of fib000 primes (A095085) in range ]2^n,2^(n+1)].at n=18A095065
- Greatest prime that differs from prime(n) in decimal representation by exactly one editing operation: deletion, insertion, or substitution.at n=30A097722
- a(n) = n-th centered n-gonal number.at n=26A100119