2833
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2834
- 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
- 2832
- Möbius Function
- -1
- Radical
- 2833
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 411
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into prime parts.at n=64A000607
- From a Goldbach conjecture: records in A185091.at n=26A002092
- Smallest primitive factor of 2^(2n+1) + 1.at n=29A002185
- Numbers that are the sum of 12 positive 7th powers.at n=18A003379
- a(n) = floor(1000*log(n)).at n=16A004240
- a(n) = 1000*log(n) rounded to the nearest integer.at n=16A004241
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=21A007353
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=9A007765
- Coordination sequence T2 for Zeolite Code BRE.at n=35A008059
- Coordination sequence T1 for Zeolite Code GOO.at n=36A008111
- Coordination sequence T7 for Zeolite Code MTW.at n=35A008202
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=18A014755
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=6A020384
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=24A024846
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.at n=20A031417
- a(n) = prime(10*n-9).at n=41A031920
- Upper prime of a difference of 14 between consecutive primes.at n=15A031933
- Concatenation of n and n + 5 or {n,n+5}.at n=27A032610
- Primes that are concatenations of n with n + 5.at n=3A032628
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=21A032767