4793
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4794
- 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
- 4792
- Möbius Function
- -1
- Radical
- 4793
- 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
- 72
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 645
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Indices of prime Lucas numbers.at n=29A001606
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=46A011901
- From table of maximal epacts e(p) and corresponding primes p, for x_1=2, x_{m+1} = (x_m)^2+1; sequence gives p.at n=23A014424
- Powers of cube root of 24 rounded to nearest integer.at n=8A018046
- Powers of cube root of 24 rounded up.at n=8A018047
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=22A020370
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=19A023282
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10.at n=6A031423
- Number of partitions of n into parts 4k+1 and 4k+2 with at least one part of each type.at n=47A035624
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+5 or 16k-5.at n=47A036022
- Positive numbers having the same set of digits in base 7 and base 9.at n=29A037439
- Position reached by frog in A038027 or 0 if none. A038026(A038027(n)).at n=9A038028
- Coordination sequence T2 for Zeolite Code ESV.at n=46A038410
- Numerators of continued fraction convergents to sqrt(129).at n=7A041234
- Numerators of continued fraction convergents to sqrt(233).at n=8A041434
- Numerators of continued fraction convergents to sqrt(516).at n=7A041986
- Numerators of continued fraction convergents to sqrt(932).at n=6A042802
- Numbers whose base-5 representation contains exactly two 1's and three 3's.at n=27A045243
- Primes p such that p+6 and p+8 are also primes.at n=36A046138
- p, p+6 and p+8 are all primes (A046138) but p+2 is not.at n=26A049438