1583
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1584
- 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
- 1582
- Möbius Function
- -1
- Radical
- 1583
- 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
- 166
- Smith Number
- no
- Vampire 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
- 250
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=51A000057
- Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.at n=26A000355
- Primes with 5 as smallest primitive root.at n=35A001124
- The coding-theoretic function A(n,4,4).at n=31A001843
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=28A002515
- Number of bipartite partitions.at n=10A002767
- Numbers k such that 4*3^k - 1 is prime.at n=12A005540
- Number of partitions of n into Fibonacci parts (with 2 types of 1).at n=24A007000
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=39A007490
- Number of non-Abelian metacyclic groups of order p^n (p odd).at n=44A007983
- Coordination sequence T2 for Zeolite Code AFT.at n=30A008027
- Coordination sequence T2 for Zeolite Code LTL.at n=29A008139
- Coordination sequence T7 for Zeolite Code PAU.at n=29A008225
- Crystal ball sequence for D_7 lattice.at n=2A008360
- Partial sums of A011863.at n=9A011888
- Exponential convolution of primes with themselves (divided by 2).at n=6A014346
- Numbers n such that phi(n + 9) | sigma(n) for n not congruent to 0 (mod 3).at n=31A015849
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=20A020371
- Smallest nonempty set S containing prime divisors of 7k+6 for each k in S.at n=42A020611
- a(n) = a(n-1) + c(n-1) for n >= 2, a( ) increasing, given a(1)=5; where c( ) is complement of a( ).at n=50A022937