3833
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3834
- 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
- 3832
- Möbius Function
- -1
- Radical
- 3833
- 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
- 56
- 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
- 532
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=26A001134
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=26A017826
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=10A020384
- Primes that contain digits 3 and 8 only.at n=4A020464
- Fibonacci sequence beginning 1, 26.at n=12A022396
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=41A023247
- a(n) = Sum_{k=m..n} T(k,n-k), where m = floor((n+1)/2); a(n) is the n-th diagonal-sum of left justified array T given by A027935.at n=21A027947
- Smallest nontrivial extension of n-th palindromic prime which is a prime.at n=13A030680
- Lower prime of a pair of consecutive primes having a difference of 14.at n=21A031932
- Numbers whose set of base-7 digits is {1,4}.at n=39A032819
- Primes of form x^2+29*y^2.at n=34A033219
- Primes of form x^2+77*y^2.at n=26A033249
- a(i) is a square mod a(j), i <> j; a(n) prime; a(1) = 2.at n=6A034902
- a(i) is a square mod a(j), i <> j.at n=17A034903
- a(n) = a(n-1) + prime(n-1), with a(1)=2.at n=44A036439
- Smallest n-digit prime containing only the digits 3 and 8, or 0 if no such prime exists.at n=3A036943
- Recursive prime generating sequence.at n=35A039726
- Denominators of continued fraction convergents to sqrt(461).at n=10A041879
- Numbers having three 3's in base 10.at n=28A043503
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n-1.at n=38A044365