3167
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3168
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3166
- Möbius Function
- -1
- Radical
- 3167
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 167
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 448
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=26A000353
- a(n) = 3*n^2 + 3*n - 1.at n=32A004538
- Coordination sequence T2 for Zeolite Code AFO.at n=37A008016
- Coordination sequence T5 for Zeolite Code MFS.at n=35A008177
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=9A022464
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=38A022893
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=27A023263
- Convolution of A023532 and (1, p(1), p(2), ...).at n=45A023598
- 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 55.at n=13A031553
- Coordination sequence T4 for Zeolite Code SBT.at n=45A033615
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(3,5) = cn(4,5).at n=76A036873
- Positive numbers having the same set of digits in base 8 and base 10.at n=21A037442
- Numbers n such that string 6,7 occurs in the base 10 representation of n but not of n-1.at n=34A044399
- Numbers n such that string 6,7 occurs in the base 10 representation of n but not of n+1.at n=34A044780
- Primes with first digit 3.at n=36A045709
- Coordination sequence T1 for Zeolite Code MSO.at n=39A047963
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=9A050268
- Euclid-Mullin sequence (A000945) with initial value a(1)=73 instead of a(1)=2.at n=14A051325
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=20A051965
- Primes for which some rearrangement of the digits (leading zeros not allowed) is the product of two consecutive primes.at n=20A053652