8596
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17248
- Proper Divisor Sum (Aliquot Sum)
- 8652
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3672
- Möbius Function
- 0
- Radical
- 4298
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 26
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Aliquot sequence starting at 660.at n=22A014362
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MOR = Mordenite Na8[Al8Si40O96].24H2O starting with a T1 atom.at n=12A019179
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=29A020419
- Numbers n such that n and its reversal are both multiples of 14.at n=42A062904
- Non-palindromic number and its reversal are both multiples of 14.at n=30A062913
- Group successively larger composite numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum of the terms in the n-th group.at n=27A074120
- Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square at mid-side.at n=18A089483
- Binomial transform of A090039.at n=7A106460
- Lesser of twin admirable numbers: k such that k and k+2 are both admirable numbers.at n=32A109730
- Admirable Harshad numbers.at n=38A111947
- Admirable Harshad numbers n such that the subtracted divisor is equal to the digital sum of n.at n=8A111948
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 1, -1), (1, 0, 1)}.at n=9A148776
- Partial sums of A152896.at n=7A152897
- Expansion of x^4*(2-10*x+18*x^2-7*x^3-21*x^4+25*x^5-x^6)/((1-x)^3*(1-2*x)^6).at n=9A219837
- Numbers k such that k, k+1, k+2, and k+3 are not divisible by any of their nonzero digits.at n=46A244358
- Second smallest multiple of n whose digits sum to n.at n=27A245065
- Number of (3+1)X(n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=43A250657
- Expansion of Product_{k>=1} (1 + (k-1)*x^k).at n=23A267007
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 397", based on the 5-celled von Neumann neighborhood.at n=49A271689
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 405", based on the 5-celled von Neumann neighborhood.at n=47A271812