173
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
- 2
- Divisor Sum
- 174
- 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
- 172
- Möbius Function
- -1
- Radical
- 173
- 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
- 31
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 40
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- einshundertdreiundsiebzig· ordinal: einshundertdreiundsiebzigste
- English
- one hundred seventy-three· ordinal: one hundred seventy-third
- Spanish
- ciento setenta y tres· ordinal: 173º
- French
- cent soixante-treize· ordinal: cent soixante-treizième
- Italian
- centosettantatre· ordinal: 173º
- Latin
- centum septuaginta tres· ordinal: 173.
- Portuguese
- cento e setenta e três· ordinal: 173º
Appears in sequences
- Number of partitions into non-integral powers.at n=4A000263
- Numbers that are the sum of 2 nonzero squares.at n=59A000404
- Numbers that are the sum of 2 but no fewer nonzero squares.at n=56A000415
- Primes and squares of primes.at n=45A000430
- n-th superior highly composite number A002201(n) is product of first n terms of this sequence.at n=62A000705
- a(n) = Catalan(n) + Catalan(n+1) - 1.at n=5A000778
- a(2n) = n+2, a(2n-1) = smallest number requiring n+2 letters in English.at n=44A000916
- Genus of complete graph on n nodes.at n=48A000933
- Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1).at n=54A000961
- n! never ends in this many 0's.at n=33A000966
- Primes with primitive root 2.at n=18A001122
- Smallest natural number requiring n letters in English.at n=22A001166
- a(n) = floor(n*log((14/11)*n^(10/9))).at n=39A001195
- Number of letters in English name for n increases at these numbers.at n=15A001619
- Numbers whose digits contain no loops (version 2).at n=52A001742
- Primes p such that the congruence 2^x == 3 (mod p) is solvable.at n=23A001915
- Primes p such that the congruence 2^x = 5 (mod p) is solvable.at n=21A001916
- v-pile numbers of the 3-Wythoff game with i=1.at n=40A001958
- Let p = n-th odd prime. Then a(n) = least prime congruent to 5 modulo 8 such that Legendre(a(n), q) = -1 for all odd primes q <= p.at n=2A001992
- Let p = n-th odd prime. Then a(n) = least prime congruent to 5 modulo 8 such that Legendre(a(n), q) = -1 for all odd primes q <= p.at n=3A001992