10276
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20608
- Proper Divisor Sum (Aliquot Sum)
- 10332
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4392
- Möbius Function
- 0
- Radical
- 5138
- 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
- 55
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=27A020415
- Numbers with exactly five distinct base-10 digits.at n=27A031987
- Number of polydiamonds: polyforms made from n diamonds.at n=6A056844
- a(n) = A077739(n)/n.at n=35A077740
- a(n) = A078213(n)/n.at n=35A078214
- Triangle T(n,k) read by rows: for n >=0 and n >= k >=0, the fraction of positive integers with exactly k of the first n primes as divisors is T(n,k)/A002110(n).at n=32A096294
- First Hadamard-Sylvester matrix self -similar matrix based on the Padovan/ Minimal Pisot 3 X 3 matrix as an 9 X 9 matrix: Characteristic Polynomial:1 - x - x^3 - x^4 - x^5 + 3 x^6 + 2 x^7 - x^9.at n=14A121230
- First row of infinite array A(j,k): A(j,1) = j-1; A(1,k) = A(2,k-1); for j, k > 1, A(j,k) = A(j-1,k) - A(j+1,k-1) if that number is positive and not already in column k, A(j,k) = A(j-1,k) + A(j+1,k-1) otherwise.at n=20A140985
- A functionally symmetric Polynomial as a triangle of coefficients: p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 2)*Sum[(2^(m-1) + 2*m-2 )*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]].at n=47A146956
- A functionally symmetric Polynomial as a triangle of coefficients: p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 2)*Sum[(2^(m-1) + 2*m-2 )*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]].at n=52A146956
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 00100-00100-11111-00100 pattern in any orientation.at n=12A147331
- a(n) = 686*n - 14.at n=14A157363
- The sums of pairs of adjacent terms are the odd palindromic primes in ascending order.at n=24A181883
- Number of -n..n arrays x(0..4) of 5 elements with zero sum, and adjacent elements not equal modulo three (with -1 modulo 3 = 2).at n=7A199912
- Number of (n+1)X(n+1) -8..8 symmetric matrices with every 2X2 subblock having sum zero and three distinct values.at n=7A211467
- The Wiener index of the nanostar dendrimer D_1[n], defined pictorially in the Eslahchi et al. reference.at n=2A221050
- Number of length 3+1 0..n arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero.at n=26A250647
- Number of (4+2) X (n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=25A252723
- a(n) is the smallest number of grains of sand placed at the center square of a (2n-1) X (2n-1) table so that some grains drop off the table by the end of the diffusion process.at n=37A259013
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 417", based on the 5-celled von Neumann neighborhood.at n=6A272017