8530
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15372
- Proper Divisor Sum (Aliquot Sum)
- 6842
- 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
- 3408
- Möbius Function
- -1
- Radical
- 8530
- 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
- 171
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for CaF2(1), F position.at n=31A009924
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=7A031947
- Multiplicity of highest weight (or singular) vectors associated with character chi_62 of Monster module.at n=36A034450
- Base-4 palindromes that start with 2.at n=47A043004
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=7A049357
- Sum of a(n) terms of 1/k^(3/4) first exceeds n.at n=35A056179
- Triangle, read by rows, where the n-th row lists the coefficients of the polynomial of degree n, with root -1, that generates the n-th diagonal of this sequence.at n=55A091173
- Leftmost column of triangle A091173, in which the n-th row lists the coefficients of the polynomial that generates the n-th diagonal.at n=10A091174
- Let f(m) = number of steps needed to reach a Harshad number when the map k->A062028(l) is iterated starting at m; a(n) = smallest m such that f(m) = n.at n=77A181664
- Sum of the emergent parts of the partitions of n.at n=24A182709
- Number of 7-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions.at n=7A187611
- Numbers n such that n^s(n) + 1 is a prime, where s(n) is the sum of the digits of n.at n=39A215533
- Conjectured number of digits in highest power of n with no four consecutive identical digits.at n=17A216142
- Numbers k such that the period of Fibonacci numbers mod k is 3*(k+10).at n=38A229466
- Number of (n+2) X (3+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3.at n=15A258961
- Integers n such that A002110(n) is divisible by A098999(n).at n=34A264897
- Number of positive walks with n steps {-3,-2,-1,0,1,2,3} starting at the origin, ending at altitude 1, and staying strictly above the x-axis.at n=7A276902
- Sum of terms in level n of TRIP - Stern sequence associated with permutation triple (e, e, e).at n=8A278612
- Expansion of Product_{k>=1} 1/(1 - x^(k^2))^2.at n=47A279225
- Fixed points of the transform A284803.at n=38A284804