163
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 164
- 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
- 162
- Möbius Function
- -1
- Radical
- 163
- 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
- 23
- Smith 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
- 38
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- einshundertdreiundsechzig· ordinal: einshundertdreiundsechzigste
- English
- one hundred sixty-three· ordinal: one hundred sixty-third
- Spanish
- ciento sesenta y tres· ordinal: 163º
- French
- cent soixante-trois· ordinal: cent soixante-troisième
- Italian
- centosessantatre· ordinal: 163º
- Latin
- centum sexaginta tres· ordinal: 163.
- Portuguese
- cento e sessenta e três· ordinal: 163º
Appears in sequences
- Local stops on New York City A line subway.at n=18A000054
- Primes that divide at least one term in every Fibonacci sequence.at n=9A000057
- Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.at n=8A000127
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=51A000134
- Primes and squares of primes.at n=42A000430
- A Beatty sequence: [ n(e+1) ].at n=43A000572
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n^2.at n=6A000604
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n.at n=36A000606
- n-th superior highly composite number A002201(n) is product of first n terms of this sequence.at n=60A000705
- Number of partitions of n in which no parts are multiples of 3.at n=19A000726
- Total number of 1's in binary expansions of 0, ..., n.at n=57A000788
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=8A000921
- Lucky numbers.at n=33A000959
- Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1).at n=51A000961
- Numbers m such that Sum_{k=0..m-1} exp(2*Pi*i*k^3/m) != 0.at n=44A001074
- Primes with primitive root 2.at n=17A001122
- Number of partitions of n into squares.at n=58A001156
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)).at n=17A001304
- Number of ways of making change for n cents using coins of 1, 2, 4, 10 cents.at n=34A001362
- Number of ways of making change for n cents using coins of 1, 2, 4, 10 cents.at n=35A001362