3163
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3164
- 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
- 3162
- Möbius Function
- -1
- Radical
- 3163
- 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
- 53
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 447
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=33A001133
- Number of factorization patterns of polynomials of degree n over F_4.at n=16A006169
- Coordination sequence T1 for Zeolite Code AFO.at n=37A008015
- Coordination sequence T2 for Zeolite Code BOG.at n=40A008050
- Coordination sequence T1 for Zeolite Code SGT.at n=35A008229
- Coordination sequence T3 for Zeolite Code STI.at n=38A008236
- a(n) = floor(n*(n-1)*(n-2)/16).at n=38A011898
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=26A014569
- Smallest number whose square has n digits.at n=7A017936
- Powers of fourth root of 10 rounded up.at n=14A018074
- Initial members of prime triples (p, p+4, p+6).at n=32A022005
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=37A022893
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=34A023248
- Primes that remain prime through 2 iterations of function f(x) = 5x + 2.at n=35A023252
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence).at n=23A024685
- Smallest prime in Goldbach partition of A025018(n).at n=41A025019
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence).at n=22A025118
- Positions of record values in A030737.at n=49A030742
- 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=12A031553
- Lucky numbers with size of gaps equal to 8 (lower terms).at n=35A031890