7167
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9560
- Proper Divisor Sum (Aliquot Sum)
- 2393
- 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
- 4776
- Möbius Function
- 1
- Radical
- 7167
- 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
- 194
- 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
- no
- Odd
- yes
Appears in sequences
- List of pairs of primes in reverse order.at n=9A007797
- a(n) = 2*a(n-2) + 1.at n=21A010737
- Expansion of 1/((1-2x)(1-4x)(1-7x)).at n=4A016285
- a(n) = Sum_{k=0..floor(n/2)} A026615(n, k).at n=13A026623
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 56.at n=21A031554
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=36A031897
- a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=41A033681
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 4 (mod 5).at n=45A035568
- Sums of 12 distinct powers of 2.at n=2A038463
- Numerators of continued fraction convergents to sqrt(971).at n=6A042878
- Numbers having three 7's in base 8.at n=33A043451
- Numbers k such that 6*7^k - 1 is prime.at n=18A046866
- a(n) = T(2, n), where T is the array given by A047858.at n=10A047859
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=30A055468
- Number of powers x^y (x,y > 1) with n digits.at n=7A060298
- List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers.at n=23A075931
- a(n) = 7*2^n - 1.at n=10A086224
- a(n) = Sum_{k=0..floor(n/5)} C(n-4k,k+1).at n=30A099559
- Smallest semiprime with Hamming weight n (i.e., smallest semiprime with exactly n ones when written in binary), or -1 if no such number exists.at n=11A102029
- G.f.: x(2-5x-2x^2)/(1-6x+9x^2-x^4).at n=8A106438