7224
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 21120
- Proper Divisor Sum (Aliquot Sum)
- 13896
- 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
- 2016
- Möbius Function
- 0
- Radical
- 1806
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 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
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=35A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=35A002706
- a(n) = floor( n*(n-1)*(n-2)/11 ).at n=44A011893
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=59A011909
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A002808 (composite numbers).at n=36A023863
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=30A032540
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=42A033996
- Number of primes between n*100000 and (n+1)*100000.at n=9A038825
- Number of primes between n*100000 and (n+1)*100000.at n=11A038825
- Numbers that divide the sum of cubes of their divisors.at n=28A046763
- Closed 3-dimensional ball numbers (version 2): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (1/2,0,0).at n=24A053593
- Open 3-dimensional ball numbers (version 2): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,0,0).at n=24A053594
- McKay-Thompson series of class 16A for Monster.at n=15A058514
- Numbers k such that phi(x) = k has exactly 11 solutions.at n=23A060674
- Staircase of coefficients of polynomials used for column g.f.s of triangle A060924.at n=35A061187
- Engel expansion of sinh(1/2).at n=21A068379
- Triangle of binomial(n,k)*(binomial(n+k,k)-binomial(n+k-2,k-1)).at n=39A080721
- Largest integer m such that m divides (sigma_(2n+1)(2k-1)-sigma(2k-1)) for all k>=1.at n=20A081863
- Numbers k such that k*prime(k) -+ 1 are twin primes.at n=30A085637
- Convoluted convolved Fibonacci numbers G_j^(5).at n=10A089092