7311
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9752
- Proper Divisor Sum (Aliquot Sum)
- 2441
- 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
- 4872
- Möbius Function
- 1
- Radical
- 7311
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 119
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- One half of the number of permutations of [n] such that the differences have 5 runs with the same signs.at n=2A000506
- Numbers k such that 17*2^k + 1 is prime.at n=14A002259
- Number of symmetric plane partitions of n.at n=33A005987
- Triangle T(n,k) = P(n,k)/2, n >= 2, 1 <= k < n, of one-half of number of permutations of 1..n such that the differences have k runs with the same signs.at n=25A008970
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=46A024834
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=44A024843
- 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 56.at n=29A031554
- Multiplicity of highest weight (or singular) vectors associated with character chi_43 of Monster module.at n=36A034431
- Positive numbers having the same set of digits in base 4 and base 9.at n=37A037427
- Positive numbers having the same set of digits in base 7 and base 9.at n=32A037439
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,2,1.at n=4A037768
- a(n) = 4*n^2 - 10*n + 7.at n=43A054554
- Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=40A063381
- Braided power sequence: this is b(n+1) = 3*b(n) + 2*d(n) - c(n), A065693 is c(n+1) = 3*c(n) + 2*b(n) - d(n) and A065694 is d(n+1) = 3*d(n) + 2*c(n) - b(n), starting with b(0) = 0, c(0) = 1 and d(0) = 2.at n=7A065692
- Third diagonal of A008970 (after A000111 and A000708).at n=4A091303
- Numbers k such that 7^k + 6^(k-1) is prime.at n=19A096185
- Numbers n such that googol - n is prime.at n=26A108251
- n times n+2 gives the concatenation of two numbers m and m-3.at n=1A116266
- a(n) = least k such that the remainder when 28^k is divided by k is n.at n=18A128368
- a(n) = (n^3 - n + 9)/3.at n=27A155753