2803
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2804
- 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
- 2802
- Möbius Function
- -1
- Radical
- 2803
- 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
- 97
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 409
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Molien series for A_7.at n=33A008630
- Number of partitions of n into its divisors with at least one part of size 1.at n=55A014648
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=17A020385
- Smallest prime in Goldbach partition of A025018(n).at n=39A025019
- Coordination sequence T4 for Zeolite Code CGS.at n=39A027368
- Primes of the form n^2 - 6.at n=8A028880
- a(n) = prime(10*n - 1).at n=40A031376
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 51.at n=23A031549
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 22 ones.at n=31A031790
- Lower prime of a pair of consecutive primes having a difference of 16.at n=6A031934
- Numbers whose set of base-7 digits is {1,3}.at n=31A032914
- Primes of form x^2+66*y^2.at n=21A033242
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=21A033548
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 4 (mod 5).at n=45A035409
- Maximal base 7 run length is 4.at n=9A037991
- Primes p such that Ramanujan function tau(p) is divisible by 11.at n=36A038542
- Number of partitions satisfying 0 < cn(2,5) + cn(3,5).at n=27A039897
- Denominators of continued fraction convergents to sqrt(834).at n=10A042611
- Numbers whose base-7 representation contains exactly four 1's.at n=6A043400
- Numbers k such that string 5,4 occurs in the base 9 representation of k but not of k-1.at n=38A044300