9341
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9342
- 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
- 9340
- Möbius Function
- -1
- Radical
- 9341
- 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
- 91
- 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
- 1156
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=23A007686
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=23A007708
- a(n) = prime(n^2).at n=33A011757
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=38A020362
- Primes that remain prime through 2 iterations of function f(x) = 8x + 1.at n=23A023260
- Numerators of continued fraction convergents to sqrt(390).at n=6A041740
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21.at n=13A051962
- McKay-Thompson series of class 26B for Monster.at n=28A058597
- Emirps which when concatenated with their reversals after a 0 make a palindromic prime of the form emirp0prime.at n=36A070954
- Prime numbers occurring at integer Pythagorean distance (radius) from 1 in Ulam square prime-spiral. Primes on axes are excluded.at n=21A078765
- Primes in A058633.at n=36A080822
- Primes A005382(n) + A005384(n) - 1 with a twin prime A005382(n) + A005384(n) + 1.at n=16A099109
- Lower bound b of twin primes pairs such that b's digital reverse is also prime.at n=42A101781
- Primes from merging of 4 successive digits in decimal expansion of (Pi^2).at n=28A104927
- Primes prime(i) such that their sum-of-index-digits A007953(i) and their sum-of-digits A007605(i) are consecutive primes.at n=41A117460
- If A is a set of integers, the (2-fold) sumset consists of all the numbers which can be written as the sum of two (not necessarily distinct) elements in A. a(n) is the number of subsets of [1,2n] which are sumsets for some set of positive integers.at n=13A120411
- Primes p for which 8*p+1 divides 2^p-1.at n=35A122095
- Expansion of q^(-1) * (chi(-q^13) / chi(-q))^2 in powers of q where chi() is a Ramanujan theta function.at n=28A128518
- Prime numbers k such that 8*k+1 and 8*k+3 are also primes.at n=36A139402
- Primes of the form 24x^2+77y^2.at n=35A140037