164
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 294
- Proper Divisor Sum (Aliquot Sum)
- 130
- 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
- 80
- Möbius Function
- 0
- Radical
- 82
- Omega Function (Ω)
- 3
- 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
- 111
- Smith 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
Names
- German
- einshundertvierundsechzig· ordinal: einshundertvierundsechzigste
- English
- one hundred sixty-four· ordinal: one hundred sixty-fourth
- Spanish
- ciento sesenta y cuatro· ordinal: 164º
- French
- cent soixante-quatre· ordinal: cent soixante-quatrième
- Italian
- centosessantaquattro· ordinal: 164º
- Latin
- centum sexaginta quattuor· ordinal: 164.
- Portuguese
- cento e sessenta e quatro· ordinal: 164º
Appears in sequences
- Numbers k such that (2k)^4 + 1 is prime.at n=45A000059
- Numbers k such that k^4 + 1 is prime.at n=25A000068
- a(n) = floor(n^(3/2)).at n=30A000093
- Number of genus 0 rooted maps with 3 faces with n vertices.at n=2A000184
- Numbers that are the sum of 2 nonzero squares.at n=56A000404
- Numbers that are the sum of 2 but no fewer nonzero squares.at n=54A000415
- Atom-rooted polyenoids with n edges with symmetry class C_s.at n=6A000908
- Dimension of the n-th graded piece of the mod-2 Steenrod algebra A_2.at n=52A000929
- The convergent sequence C_n for the ternary continued fraction (3,1;2,2) of period 2.at n=8A000964
- a(n) = a(n-1)*a(n-2) + a(n-3).at n=10A001064
- a(0) = a(1) = 1; for n > 1, a(n) = n*a(n-1) + (-1)^n.at n=5A001120
- Number of black-rooted red-black trees with n internal nodes.at n=9A001137
- a(n) = solution to the postage stamp problem with n denominations and 2 stamps.at n=20A001212
- Numbers k such that phi(k) = phi(k+1).at n=4A001274
- Image of n under the map n->n/2 if n even, n->3n-1 if n odd.at n=55A001281
- Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice.at n=3A001386
- Number of partitions of n into at most 5 parts.at n=19A001401
- Fibonacci entry points: a(n) = smallest m > 0 such that the n-th prime divides Fibonacci(m).at n=37A001602
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4), with a(0)=a(1)=0, a(2)=1, a(3)=2.at n=10A001630
- Primes multiplied by 4.at n=12A001749