179
domain: N
Properties
Digital Properties
- Digit Count
- 3
- 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
- 180
- 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
- 178
- Möbius Function
- -1
- Radical
- 179
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 41
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- einshundertneunundsiebzig· ordinal: einshundertneunundsiebzigste
- English
- one hundred seventy-nine· ordinal: one hundred seventy-ninth
- Spanish
- ciento setenta y nueve· ordinal: 179º
- French
- cent soixante-dix-neuf· ordinal: cent soixante-dix-neufième
- Italian
- centosettantanove· ordinal: 179º
- Latin
- centum septuaginta novem· ordinal: 179.
- Portuguese
- cento e setenta e nove· ordinal: 179º
Appears in sequences
- a(0)=1, a(n) = 3*a(n-1) + n + 1.at n=4A000340
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=5A000353
- Primes and squares of primes.at n=46A000430
- n-th superior highly composite number A002201(n) is product of first n terms of this sequence.at n=63A000705
- Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1).at n=55A000961
- n! never ends in this many 0's.at n=34A000966
- Union of all numbers {p, q} where p and q are both primes or powers of primes and q = p+2.at n=39A001092
- Twin primes.at n=23A001097
- Primes with primitive root 2.at n=19A001122
- a(n) = floor(n*log((14/11)*n^(10/9))).at n=40A001195
- Lesser of twin primes.at n=12A001359
- Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=18A001522
- a(n) = a(n-1) + a(n-2) - 1.at n=11A001588
- Generalized Stirling numbers, [n+6,6]_4.at n=2A001717
- Numbers k such that phi(k+2) = phi(k) + 2.at n=22A001838
- Full reptend primes: primes with primitive root 10.at n=14A001913
- Primes p such that the congruence 2^x == 3 (mod p) is solvable.at n=24A001915
- Primes p such that the congruence 2^x = 5 (mod p) is solvable.at n=22A001916
- a(n) = floor((n+1/2)*(2+sqrt(2))); winning positions in the 2-Wythoff game.at n=52A001954
- a(n) = floor((n+2/3)*(5+sqrt(13))/2); v-pile positions in the 3-Wythoff game.at n=41A001960