7162
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10746
- Proper Divisor Sum (Aliquot Sum)
- 3584
- 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
- 3580
- Möbius Function
- 1
- Radical
- 7162
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 101
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 69.at n=8A020408
- Number of partitions of n with equal number of parts congruent to each of 2, 3 and 4 (mod 5).at n=52A035581
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(1,5) = cn(3,5) = cn(4,5).at n=75A036857
- Numerators of continued fraction convergents to sqrt(426).at n=7A041810
- a(n)=(s(n)+3)/10, where s(n)=n-th base 10 palindrome that starts with 7.at n=38A043086
- Numbers whose base-4 representation contains exactly three 2's and three 3's.at n=29A045151
- a(n) = 7*2^n - 6.at n=10A048489
- Number of 2-element intersecting families (with not necessarily distinct sets) of an n-element set.at n=7A053154
- Numbers k such that 70*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=12A056688
- G.f.: (1+3*x+2*x^2)/((1-x)*(1-2*x^2)).at n=20A063757
- Number of finite positive integer sequences b(1),...,b(k), with k <= n and b(1)*b(2)*...*b(k) <= n.at n=11A064453
- Least k such that decimal representation of k*n contains only digits 0 and 2.at n=30A096681
- Expansion of g.f. x*(1 +4*x +4*x^2 +18*x^3 +7*x^4 +7*x^5 -2*x^6 -x^7 -x^8 -x^9) / (1-20*x^6+x^12).at n=16A116561
- Expansion of g.f. x*(1 +4*x +4*x^2 +18*x^3 +7*x^4 +7*x^5 -2*x^6 -x^7 -x^8 -x^9) / (1-20*x^6+x^12).at n=19A116561
- a(n) = 7*n^2 + 14*n + 1.at n=31A131878
- a(n) = floor((x^n - (1-x)^n)/sqrt(2)+ 1/2) where x = (sqrt(2)+1)/2.at n=48A136421
- Ulam's spiral (SSW spoke).at n=21A143838
- a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=2,a(2)=9.at n=32A154495
- Number of partitions of n in which any two parts differ by at most 7.at n=37A218509
- Expansion of (1+4*x+5*x^2-x^3)/((1-x)*(1+x)*(1-2*x^2)).at n=20A220753