8865
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15444
- Proper Divisor Sum (Aliquot Sum)
- 6579
- 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
- 4704
- Möbius Function
- 0
- Radical
- 2955
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 171
- 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
- no
- Odd
- yes
Appears in sequences
- Sum of 10 nonzero 8th powers.at n=20A003388
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=21A029482
- Numbers whose set of base-14 digits is {2,3}.at n=29A032814
- Numbers whose set of base-14 digits is {3,4}.at n=14A032838
- Numbers whose set of base-14 digits is {1,3}.at n=29A032921
- a(n) = n * prime(n).at n=44A033286
- a(n) in base 14 is a repdigit.at n=42A048338
- Leading diagonal of A083173.at n=44A083174
- a(n) = n * Pell(n).at n=9A093967
- Numbers k such that k and k^2 use only the digits 2, 5, 6, 7 and 8.at n=24A137111
- a(n) = A145812(2n-1).at n=46A145849
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 0110-0100-1111 pattern in any orientation.at n=10A146792
- Number of nXnXn triangular nonnegative integer arrays, symmetric under 120 degree rotation, with all sums of an element and its neighbors <= 3.at n=9A166198
- Number of 9X9X9 triangular nonnegative integer arrays, symmetric under 120 degree rotation, with all sums of an element and its neighbors <= n.at n=3A166217
- G.f.: A(x) = exp(Sum_{n>=1} A177430(n)*x^n/n) where A177430 is the least monotonically increasing logarithmic derivative consisting of only squares.at n=12A177432
- Square array, read by antidiagonals, used to recursively calculate A080635.at n=49A185416
- Number of nondecreasing arrays of n 0..n-1 integers with the sum of their 2nd powers equal to sum(i^2,i=0..n-1).at n=12A216630
- Number of (n+1)X(1+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing.at n=37A232790
- Numbers n such that n*2^521 - 1 is prime.at n=34A265498
- T(n,k)=Number of nXk binary arrays with some 1 horizontally or vertically adjacent to some other 1 exactly once.at n=46A268740