4693
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5334
- Proper Divisor Sum (Aliquot Sum)
- 641
- 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
- 4104
- Möbius Function
- 0
- Radical
- 247
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 121
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T3 for Zeolite Code DAC.at n=43A008069
- Coordination sequence T4 for Zeolite Code MEL.at n=44A008153
- Pseudoprimes to base 69.at n=24A020197
- Strong pseudoprimes to base 68.at n=17A020294
- Strong pseudoprimes to base 69.at n=9A020295
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=25A020397
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=37A024834
- a(n) = Sum_{k=0..floor(n/2)} T(n,k), T given by A026725.at n=12A026733
- Divisors = 1 (mod 4) of Descartes's 198585576189.at n=41A033870
- Numerators of continued fraction convergents to sqrt(703).at n=4A042352
- Numbers whose base-2 representation has exactly 11 runs.at n=13A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=14A043686
- Numbers n such that number of runs in the base 2 representation of n is congruent to 1 mod 10.at n=25A043764
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=10A045276
- Has both a primitive and imprimitive representation as x^2 + xy + y^2.at n=34A045897
- a(n) = 4*n^2 - 6*n + 3.at n=34A054569
- Centered 17-gonal numbers: (17*n^2 - 17*n + 2)/2.at n=23A069130
- Variant of Lucas numbers: a(n) = a(n-1) + 4*a(n-2) starting with a(0)=2 and a(1)=1.at n=9A072265
- a(n) = 16*n^2 + 4*n + 1.at n=17A082041
- Duplicate of A072265.at n=9A085488