10831
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10832
- 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
- 10830
- Möbius Function
- -1
- Radical
- 10831
- 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
- 42
- 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
- 1316
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of trees on n nodes with forbidden limbs.at n=10A014274
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=41A015631
- a(n) = M(n) + m(n) for n >= 2, where M(n) = max{ a(i) + a(n-i): i = 1..n-1 }, m(n) = min{ a(i) + a(n-i): i = 1..n-1 }.at n=27A022905
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=11A031838
- Smallest prime == 1 mod (n^2).at n=18A035091
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=34A052029
- First member of a prime triple in a 2p-1 progression.at n=45A057326
- Right diagonal of triangle in A072467.at n=18A072469
- Determinant of M(n), the n X n matrix defined by m(i,i) = 1, m(i,j) = i-j.at n=19A079034
- Record-setting differences between adjacent elements of the Mian-Chowla sequence variant A051788.at n=34A080223
- For n < 5, a(n) = n-th prime. For n >= 5, let m = n-th prime. If m is a k-digit prime then a(n) = smallest prime obtained by inserting at least one digit between every pair of digits of m. There are (k-1) places where digit insertion takes place and a(n) contains at least 2k-1 digits.at n=41A080437
- A088250(n) + 1.at n=4A088251
- Greater prime factor of semiprimes in A089542.at n=7A089544
- a(n) = nextprime(A090117(n)), the smallest prime following squares listed in A090117 and also the distance of a(n) from the preceding prime is 2*n.at n=15A090119
- Indices of primes in the sequence defined by A(0) = 47, A(n) = 10*A(n-1) - 33 for n > 0.at n=26A101724
- Round(1000*x), where x is the solution to x = 3^(n-x).at n=13A103537
- Leading diagonal of triangle A119444.at n=19A119445
- Records in A034694.at n=18A120856
- Row sums of triangle A134275 (S2(5)').at n=4A134276
- a(n) is the least prime for which the n-th term of the sequence S(a(n)) belongs to A007500, where each term of S(p) is the least prime >= the reversal of the previous term.at n=10A135436