10714
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
- 8
- Divisor Sum
- 17568
- Proper Divisor Sum (Aliquot Sum)
- 6854
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4860
- Möbius Function
- -1
- Radical
- 10714
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 29
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = ceiling(n*phi^17), where phi is the golden ratio, A001622.at n=3A004972
- Molien series for complete weight enumerator of self-dual code over GF(5).at n=36A028344
- Numerators of continued fraction convergents to sqrt(488).at n=2A041930
- Number of ways to place 3 nonattacking queens on a 3 X n board.at n=25A061989
- Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n).at n=22A079908
- a(n) = 22*a(n-1) + a(n-2), starting with a(0) = 2 and a(1) = 22.at n=3A090313
- Numerators of the convergents of the continued fraction for L(2, chi3), where L(s, chi3) is the Dirichlet L-function for the non-principal character modulo 3.at n=13A153067
- Number of binary strings of length n with no substrings equal to 0001, 0110 or 1100.at n=18A164480
- Averages of two consecutive odd cubes; a(n) = (n^3 + (n+2)^3)/2.at n=10A173962
- Number of (n+2) X 4 binary arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order.at n=15A184541
- Floor((n+1/n)^3).at n=21A197602
- a(n) = round((n+1/n)^3).at n=21A197986
- Number of distinct values taken by 5th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1.at n=19A199296
- Numbers k such that A112141(k) + 1 is prime.at n=22A224081
- Number of partitions p of n such that (number of even numbers in p) = 2*(number of odd numbers in p).at n=49A241643
- Numbers representable as x^y + x*y and as b^c + b + c, where x, y, b, c are integers > 1.at n=3A253287
- a(n) = n*(11*n + 3)/2.at n=44A254963
- Number of partitions in which each summand, s, may be used with frequency f if f divides s.at n=49A296116
- Indices of metallic means that are powers of other metallic means.at n=33A352403
- a(n) is the least integer m such that the sum of the digits of m^2 is k+n where k is the number of digits of n.at n=47A369956