10331
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10332
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10330
- Möbius Function
- -1
- Radical
- 10331
- 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
- 166
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1267
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Positive numbers k such that k and 3*k are anagrams in base 9 (written in base 9).at n=38A023080
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=23A052163
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=23A054823
- Primes q of the form q = 10p + 1, where p is also prime.at n=39A055781
- Primes p whose period of reciprocal equals (p-1)/5.at n=20A056210
- Number of terms of the fractional part of A030168 for which the geometric mean produces increasingly better approximations to Khinchin's constant.at n=22A059102
- Primes whose sum of digits is 8.at n=35A062343
- Record entries in A065191.at n=45A065192
- Expansion of (1+x^2)*(1+x^5)*(1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)*(1-x^10)).at n=30A069950
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern.at n=20A078847
- Primes that are a concatenation of a prime and its first digit.at n=31A085414
- Primes which when added to their own rotation yield a prime.at n=37A086002
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=10A089493
- Primes whose decimal representation is a valid number in base 4 and interpreted as such is again a prime.at n=43A090707
- Primes whose decimal representation is a valid number in base 6 and interpreted as such is again a prime.at n=42A090709
- Triangle, read by rows, where T(n,k) equals the least m>0 that produces the maximum number of partial quotients in the simple continued fraction expansion of (1/n + 1/k + 1/m).at n=51A091943
- a(n) is the smallest initial value (a prime) for the Euclid-Mullin (EM) sequence in which the p=5 prime emerges as n-th term, i.e., arises at the n-th position.at n=27A093782
- a(n) is the smallest lesser of twin prime p, such that prime(2 + p) - prime(p) = 2n (cf. A096474).at n=14A096475
- a(n) = 6*n*(n-1) - 1.at n=42A103115
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=26A118507