8353
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8354
- 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
- 8352
- Möbius Function
- -1
- Radical
- 8353
- 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
- 88
- 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
- 1046
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 8 nonzero 8th powers.at n=16A003386
- Coordination sequence for MgZn2, Mg position.at n=23A009939
- cosh(arctan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+20/5!*x^5...at n=8A012417
- Quadruples of different integers from [ 1,n ] with no common factors between triples.at n=24A015625
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=25A031816
- Multiplicity of highest weight (or singular) vectors associated with character chi_24 of Monster module.at n=36A034412
- Let a (resp. b,c,d) be number of primes in the range {2..p} that end in 1 (resp. 3,7,9); sequence gives p such that a=d and b=c.at n=45A038562
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=28A050666
- McKay-Thompson series of class 52A for Monster.at n=60A058705
- Primes p such that x^29 = 2 has no solution mod p.at n=34A059256
- Lesser prime factor of semiprimes in A089542.at n=8A089543
- Numbers n such that the partition function A000041(k) is even and odd the same number of times for 0 <= k <= n.at n=39A098936
- Primes of the form 64n+33.at n=29A105128
- Numbers n such that n, n+1 and n+2 are 1,2,3-almost primes.at n=29A112998
- Numbers k such that k + sigma(k) + sigma(sigma(k)) is a square.at n=24A116014
- Least prime p for which Mertens's function M(p) = n.at n=24A123172
- Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.at n=14A126238
- Primes p such that p - q = 24, where q is the previous prime before p; or prime numbers preceded by precisely 23 composite numbers.at n=13A126720
- Prime numbers p such that p +- ((p-1)/8) are primes.at n=8A137771
- Primes of the form x^2 + 1848*y^2.at n=23A139668