7614
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
- 20
- Divisor Sum
- 17424
- Proper Divisor Sum (Aliquot Sum)
- 9810
- 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
- 2484
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 6
- 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
- Number of homogeneous primitive partition identities of degree 6 with largest part n.at n=13A007344
- [ 4th elementary symmetric function of sqrt(k+1) ], k = 1,2,...,n.at n=6A025221
- Even 9-gonal (or enneagonal) numbers.at n=23A028992
- a(n) = (2*n+1)*(7*n+1).at n=23A033572
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=33A045291
- a(n) = 9*(n-2)^2*(n^2-2*n-1)/2.at n=6A064199
- a(n) = A051201(n^2).at n=39A078163
- Indices of primes in sequence defined by A(0) = 53, A(n) = 10*A(n-1) - 7 for n > 0.at n=14A101574
- Expansion of 1 / Product_{n>=0} (1 - q^(5n+1))*(1 - q^(5n+2))*(1 - q^(5n+4)).at n=45A107235
- Numbers k such that k and 7*k, taken together, are zeroless pandigital.at n=6A115931
- Enneagonal numbers divisible by 9.at n=11A117796
- Numbers k for which 8*k+1, 8*k+5, 8*k+7 and 8*k+11 are primes.at n=17A123983
- Number of sequences {c(i), i=0..n} that form the initial terms of a self-convolution 6th power of an integer sequence such that 0 < c(n) <= 6*c(n-1) for n>0 with c(0)=1.at n=4A132856
- a(n) = A134207(n) + A134207(n-1).at n=46A134208
- E.g.f. A(x) satisfies A(x) = -log(1 - x - A(x)^2).at n=4A143155
- Coefficient triangle sequence of a polynomial recursion: p(x,n)=(x + 1)*(p(x, n - 1) + 3^(n - 1)*x); Row sums are 2*3^n.at n=48A153310
- Positions of zeros in A165582.at n=29A165583
- a(n) = 94*n^2.at n=9A174337
- The Wiener index of the Dutch windmill graph D(5,n) (n>=1).at n=17A180579
- Numbers a = b + c where a, b, and c contain the same decimal digits.at n=11A203024