7110
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 11610
- 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
- 1872
- Möbius Function
- 0
- Radical
- 2370
- Omega Function (Ω)
- 5
- 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
- yes
- 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 1/(1-x^4-x^5-x^6-x^7-x^8-x^9).at n=36A017831
- a(n) = n*(11*n - 1)/2.at n=36A022268
- Expansion of Product_{m>=1} (1+x^m)^6.at n=9A022571
- The value of the associated Legendre Polynomial of index n and order 1 evaluated at x=2^(-1/2) multiplied by 2^(3*n/2-1).at n=9A025163
- Numerators of continued fraction convergents to sqrt(885).at n=5A042710
- Numbers k such that 231*2^k-1 is prime.at n=42A050867
- Number of directed loopless multigraphs on 4 nodes with n arcs.at n=9A050930
- Treated as strings, phi(n) is a substring of sigma(n).at n=21A074452
- Numbers of the form p^3 + q^3, p, q primes.at n=29A086119
- a(n) = prime(n) + prime(n^2).at n=29A092504
- Number of A095745-primes in range ]2^n,2^(n+1)].at n=18A095755
- a(n) = Sum_{i=2..n} A055211(i).at n=45A097590
- Numbers k such that k^2 + 11 and k^2 + 13 are primes.at n=31A113537
- Sums of two distinct prime cubes.at n=23A120398
- Sum of third powers of two consecutive primes.at n=5A133534
- a(n) = A134207(n) + A134207(n-1).at n=44A134208
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=7.at n=21A135192
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 7.at n=36A136824
- Sums of 2 cubes of distinct odd primes.at n=16A137632
- Total number of active nodes of the Rule 150 cellular automaton on an infinite Bethe lattice with coordination number 3 (with a single 1 as initial condition).at n=12A138276