3319
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3320
- 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
- 3318
- Möbius Function
- -1
- Radical
- 3319
- 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
- 43
- 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
- 467
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=31A001125
- Supersingular primes of the elliptic curve X_0 (11).at n=9A006962
- Coordination sequence T2 for Zeolite Code AEL.at n=38A008005
- Number of partitions of n into at most 8 parts.at n=32A008637
- Expansion of x/(1 - 7*x - 6*x^2).at n=5A015564
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=33A023255
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=24A023262
- Number of partitions of n in which the greatest part is 8.at n=40A026814
- a(n+1) = Sum_{k=0..floor(4*n/5)} a(k) * a(n-k).at n=12A030039
- 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 57.at n=7A031555
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=7A031810
- The 20 primes inside the 4 X 4 matrix with all the rows, columns and major diagonals being reversible non-palindromic and distinct primes (the smallest prime-magical square): [ 1933, 1283, 9551, 3719 ].at n=6A032530
- Primes of form x^2+35*y^2.at n=33A033224
- Primes of form x^2+91*y^2.at n=32A033258
- Lists of 4 primes in arithmetic progression; common difference 6.at n=11A033449
- a(n) = floor(T_(n+1)/T_(n)) where T_n is n-th tangential or "Zag" number (see A000182).at n=44A034972
- Primes corresponding to A046411.at n=32A038514
- Primes p such that Ramanujan function tau(p) is divisible by 11.at n=39A038542
- Numbers whose base-5 representation has exactly 6 runs.at n=27A043606
- Numbers k such that string 1,9 occurs in the base 10 representation of k but not of k-1.at n=37A044351