7124
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13524
- Proper Divisor Sum (Aliquot Sum)
- 6400
- 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
- 3264
- Möbius Function
- 0
- Radical
- 3562
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- yes
- Odd
- no
Appears in sequences
- A Fielder sequence. a(n) = a(n-1) + a(n-3) + a(n-4) + a(n-5), n >= 6.at n=16A001639
- Weighted count of partitions with distinct parts.at n=32A005895
- 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 42.at n=40A031540
- A class of polytopal spheres.at n=18A059736
- Trajectory of n under the Reverse and Add! operation carried out in base 3 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=25A077405
- Least nontrivial multiple of the n-th prime beginning with 7.at n=32A078291
- Column 0 of the matrix inverse of triangle A118190(n,k) = 5^(k*(n-k)).at n=4A118193
- Number of infinite-dimensional partitions of n up to conjugacy.at n=14A119268
- Antidiagonal sums of triangle A124428.at n=19A124429
- Least k such that k*6*(M(n)^500)-1 is prime where M(i)= i-th Mersenne prime.at n=5A130745
- The Wiener index of a chain of n squares joined at vertices (i.e., joined like <><><>...<>; here <> is a square!).at n=12A143943
- Even composites in A145832 with at least three distinct prime factors.at n=2A145916
- G.f.: A(x) = exp( Sum_{n>=1} sigma(n)*x^n/(1+x^n) /n ).at n=43A158441
- Number of reduced words of length n in the Weyl group B_19.at n=4A161879
- Number of reduced words of length n in the Weyl group D_19.at n=4A162347
- Number of ways to select disjoint subsets out of {1..n} such that their (sorted) element sums give the list of divisors of n.at n=50A164988
- Potential magic constants of a 10 X 10 magic square composed of consecutive primes.at n=6A192087
- Monotonic ordering of set S generated by these rules: if x and y are in S then x^2 + y^2 is in S, and 1 is in S.at n=42A192476
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n+2.at n=31A210374
- Number of cyclotomic cosets of 9 mod 10^n.at n=21A220020