4363
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4364
- 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
- 4362
- Möbius Function
- -1
- Radical
- 4363
- 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
- 139
- 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
- 596
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code DAC.at n=42A008068
- Coordination sequence T2 for Zeolite Code LAU.at n=47A008125
- a(n) = floor(n*(n-1)*(n-2)/9).at n=35A011891
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=11A020405
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=21A023274
- Expansion of 1/((1-2x)(1-4x)(1-8x)(1-9x)).at n=3A025976
- 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 65.at n=12A031563
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=22A031800
- Lucky numbers with size of gaps equal to 14 (lower terms).at n=18A031896
- Lower prime of a difference of 10 between consecutive primes.at n=60A031928
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=20A046006
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3 and a(3) = 2.at n=13A049922
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=12A050666
- Primes p such that p^8 reversed is also prime.at n=30A059701
- Primes p such that |p - q| is a square, where q is the reversal of p.at n=19A059798
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=18A063644
- When the numerator - denominator (A064169) in n-th harmonic number is prime.at n=51A064404
- Ulam numbers that are primes.at n=46A068820
- Primes in which the k-th digit (counting from the right) is either a nonzero multiple of k or a divisor of k; furthermore the digit 1 is allowed only when k has no other divisors < 10.at n=44A069556
- a(n) = prime(n*(n+1)/2 + 1).at n=34A078721