7018
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11970
- Proper Divisor Sum (Aliquot Sum)
- 4952
- 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
- 3080
- Möbius Function
- 0
- Radical
- 638
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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
- Arrays of dumbbells.at n=6A002889
- a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=33A025000
- Triangle read by rows giving number of arrangements of k dumbbells on 2 X n grid (n >= 0, k >= 0).at n=51A046741
- Sum{T(i,n-i): i=0,1,...,n}, array T given by A047010.at n=14A047011
- Seventh column of A046741.at n=3A062127
- Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n^2 filled successively along rows.at n=23A072333
- Expansion of (1-x)^(-1)/(1+x^2+2*x^3).at n=27A077890
- Number of palindromic and unimodal compositions of n. Equivalently, the number of orbits under conjugation of even nilpotent n X n matrices.at n=51A096441
- Bisection of A096441.at n=26A096967
- Numbers that reach the fixed point 89 under iteration of f(x) = reverse(x) - maxdigit(x).at n=7A097155
- Positive integers n such that n^11 + 1 is semiprime.at n=34A105122
- Numbers k for which 16*k+1, 16*k+3 and 16*k+15 are primes.at n=30A123997
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=24A132184
- Integers k such that 10^k + 69 is a prime number.at n=18A135114
- Where zeros occur in the 1-0 race in the binary expansion of Pi-3; that is, n such that A174832(n) = 0.at n=43A178980
- a(n) = (3*n+7)*(3*n+2)/2.at n=38A179436
- a(n) = Sum_{k=0..ceiling(n/2)} k*binomial(n,k).at n=11A185252
- Number of ways to place 2 non-attacking wazirs on an n X n toroidal board.at n=10A201236
- Number of n X n 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 3.at n=8A239357
- Number of distinct products of distinct factorials up to n!.at n=15A255937