983
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 984
- 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
- 982
- Möbius Function
- -1
- Radical
- 983
- 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
- 142
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 166
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- neunhundertdreiundachtzig· ordinal: neunhundertdreiundachtzigste
- English
- nine hundred eighty-three· ordinal: nine hundred eighty-third
- Spanish
- novecientos ochenta y tres· ordinal: 983º
- French
- neuf cent quatre-vingt-trois· ordinal: neuf cent quatre-vingt-troisième
- Italian
- novecentoottantatre· ordinal: 983º
- Latin
- nongenti octoginta tres· ordinal: 983.
- Portuguese
- novecentos e oitenta e três· ordinal: 983º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=37A000057
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=11A000353
- Primes with 5 as smallest primitive root.at n=25A001124
- Wedderburn-Etherington numbers: unlabeled binary rooted trees (every node has outdegree 0 or 2) with n endpoints (and 2n-1 nodes in all).at n=13A001190
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=45A001682
- Full reptend primes: primes with primitive root 10.at n=59A001913
- Number of transitive permutation groups of degree n.at n=17A002106
- Smallest prime == 7 (mod 8) where Q(sqrt(-p)) has class number 2n+1.at n=13A002146
- Number of solutions to a linear inequality.at n=28A002797
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=20A004210
- a(n) = floor(n*phi^10), where phi is the golden ratio, A001622.at n=8A004925
- Class 3- primes (for definition see A005109).at n=51A005111
- Safe primes p: (p-1)/2 is also prime.at n=24A005385
- Primes p such that 2^p - 1 has at most 2 prime factors.at n=49A006514
- Emirps (primes whose reversal is a different prime).at n=34A006567
- Primes whose reversal in base 10 is also prime (called "palindromic primes" by David Wells, although that name usually refers to A002385). Also called reversible primes.at n=54A007500
- Primes of the form 8n+7, that is, primes congruent to -1 mod 8.at n=41A007522
- Largest prime with n distinct decimal digits.at n=2A007810
- Expansion of (1+x^2)(1+x^4)/((1-x)^2*(1-x^2)*(1-x^3)).at n=20A007979
- Coordination sequence T2 for Zeolite Code CAS.at n=19A008064