7344
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
- 40
- Divisor Sum
- 22320
- Proper Divisor Sum (Aliquot Sum)
- 14976
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- 0
- Radical
- 102
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- Sum of squared spans of 2n-step polygons on square lattice.at n=6A006773
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=45A007374
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=24A011934
- Number of trees on n nodes with forbidden limbs.at n=15A014270
- Smallest k such that phi(x) = k has exactly n solutions, n>=0 with Carmichael conjecture.at n=47A014573
- Poincaré (or Molien) series for ring of Siegel modular forms of genus 3 (associated with full modular group Gamma_3).at n=43A027634
- 4-automorphic numbers: final digits of 4*n^2 agree with n.at n=3A030987
- Every run of digits of n in base 15 has length 2.at n=36A033013
- Number of partitions of n into parts not of the form 17k, 17k+6 or 17k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=33A035967
- Positive integers with more base-15 runs of even length than odd.at n=38A044841
- Distinct even numbers in the numerators of the 1/5-Pascal triangle (by row).at n=40A046626
- Distinct even numbers in writing numerators of each element to the right of the central elements of the 1/5-Pascal triangle (by row).at n=36A046629
- Numbers n such that 93*2^n-1 is prime.at n=25A050572
- (Terms in A029661)/2.at n=50A051430
- (Terms in A029647)/2.at n=49A051471
- Numbers k such that k | sigma_9(k) - phi(k)^9.at n=21A055703
- Nonprime numbers k such that k | sigma_3(k) + phi(k)^3.at n=13A055970
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=18A060665
- Numbers k such that k and its reversal are both multiples of 17.at n=26A062906
- Non-palindromic number and its reversal are both multiples of 17.at n=18A062915