3083
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3084
- 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
- 3082
- Möbius Function
- -1
- Radical
- 3083
- 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
- 35
- 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
- 441
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of bipartite partitions.at n=10A002764
- Numbers that are the sum of 8 positive 7th powers.at n=16A003375
- Reflectable emirps.at n=13A007628
- a(n) = prime(n^2).at n=20A011757
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=36A020373
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 11.at n=13A022325
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=33A023248
- Primes that remain prime through 2 iterations of function f(x) = 9x + 4.at n=40A023266
- Sequence A025513 divided by 2.at n=37A025514
- Primes of form n^2 + n + 3.at n=10A027753
- 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 55.at n=5A031553
- Primes p such that x^23 = 2 has no solution mod p.at n=20A040984
- Denominators of continued fraction convergents to sqrt(61).at n=9A041107
- Numbers n such that string 8,3 occurs in the base 10 representation of n but not of n-1.at n=33A044415
- Numbers k such that string 8,3 occurs in the base 10 representation of k but not of k+1.at n=33A044796
- Numbers whose base-4 representation contains exactly three 0's and two 3's.at n=25A045078
- Primes with first digit 3.at n=29A045709
- Discriminants of imaginary quadratic fields with class number 13 (negated).at n=15A046010
- F-primes.at n=22A046872
- T(n,n+3), array T as in A047100.at n=6A047108