7713
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11154
- Proper Divisor Sum (Aliquot Sum)
- 3441
- 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
- 5136
- Möbius Function
- 0
- Radical
- 2571
- Omega Function (Ω)
- 3
- 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
- 83
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Numbers that are the sum of 12 positive 7th powers.at n=45A003379
- Prefix (or Levenshtein) codes for natural numbers.at n=33A010097
- Number of bicentered 5-valent trees with n nodes.at n=16A036649
- a(n)=T(n,n+2), array T as in A049735.at n=34A049742
- a(n) = A000031(n) - A001037(n).at n=34A066656
- a(n) = A077708(n+1)/A077708(n).at n=16A077709
- Number of permutations satisfying -k <= p(i) - i <= r and p(i) - i not in I, i=1..n, with k=1, r=4, I={0,3}.at n=28A079973
- Numbers k such that sigma(phi(k))-phi(sigma(k)) is nonzero and divisible by phi(k), that is A065395(k)/A000010(k) is a nonzero integer.at n=39A092587
- Numbers k such that 4*k-1, 8*k-1 and 16*k-1 are all primes.at n=41A101790
- Numbers n such that n^3 - 4 and n^3 + 4 are prime.at n=31A161589
- Number of subsets (up to cyclic shifts) of the n-th roots of 1 with zero sum.at n=33A164896
- a(n) = n^2 + a(n-1), with a(1)=0.at n=27A168559
- Sum of all parts > 1 of all partitions of n.at n=18A194552
- Number of scalene triangles, distinct up to congruence, on a centered hexagonal grid of size n.at n=9A241236
- Number of (4+2) X (n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=24A252723
- Numbers whose base-4 representation is a square when read in base 10.at n=18A267764
- Sum of squares of numbers less than n that do not divide n.at n=28A276984
- a(n) = A063776(n) + 1.at n=16A283843
- Sum of the digit sums of the n-th powers of the first n positive integers.at n=39A287894
- Number of compositions of n that are proper powers of Lyndon words.at n=50A298971