8535
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 5145
- 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
- 4544
- Möbius Function
- -1
- Radical
- 8535
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 127
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- a(n) = n*(19*n - 1)/2.at n=30A022276
- Number of distinct prime signatures of the positive integers up to 2^n.at n=46A025488
- Lucky numbers with size of gaps equal to 20 (upper terms).at n=17A031903
- Number of twin primes < 2^n.at n=19A033843
- Positive numbers having the same set of digits in base 7 and base 9.at n=38A037439
- a(n) = round(log_2(n)*2^n/n).at n=14A065617
- a(n) = ceiling(log_2(n)*2^n/n).at n=14A065618
- Record-setting differences between adjacent elements of the Mian-Chowla sequence variant A058335.at n=37A080931
- a(n) = (prime(n)+1)*n - 1.at n=43A083723
- Numbers n such that nextprime(n^3)-prevprime(n^3) = 4.at n=42A090121
- a(n) = Sum_{i=1..n} A005235(i).at n=46A097589
- Where records occur in A127913.at n=31A129415
- Maximal entry in row n of triangle in A169945.at n=14A169949
- Numbers k such that (k^3 - 2, k^3 + 2) is a pair of cousin primes (see A178227).at n=41A178228
- Numbers k such that (k^3 + 2, n^3 + 4) is a twin prime pair.at n=45A178337
- Number of strings of numbers x(i=1..n) in 0..4 with sum i*x(i)^4 equal to n*256.at n=10A184843
- Number of n X n 0..4 arrays with every row and column running average nondecreasing rightwards and downwards.at n=2A200851
- Number of nX3 0..4 arrays with every row and column running average nondecreasing rightwards and downwards.at n=2A200853
- T(n,k)=Number of nXk 0..4 arrays with every row and column running average nondecreasing rightwards and downwards.at n=12A200858
- T(n,k) = count of degree k monomials in the complete homogeneous symmetric polynomials h(mu,k) summed over all partitions mu of n.at n=23A209666