8261
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9024
- Proper Divisor Sum (Aliquot Sum)
- 763
- 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
- 7500
- Möbius Function
- 1
- Radical
- 8261
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- 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
- Positive integers n such that 2^n == 2^11 (mod n).at n=73A015935
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite VFI = VPI-5 [ Al18P18O72 ] . 42 H2O.at n=5A019064
- Pseudoprimes to base 80.at n=44A020208
- Strong pseudoprimes to base 80.at n=13A020306
- Numbers k such that the continued fraction for sqrt(k) has period 90.at n=14A020429
- Number of partitions in parts not of the form 23k, 23k+1 or 23k-1. Also number of partitions with no part of size 1 and differences between parts at distance 10 are greater than 1.at n=41A035989
- Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=32A035998
- Gaps of 8 in sequence A038593 (lower terms).at n=7A038655
- Numbers ending with '1' that are the difference of two positive cubes.at n=33A038856
- Numerators of continued fraction convergents to sqrt(909).at n=5A042756
- T(n,n-4), where T is the array in A055830.at n=32A055831
- Number of almost base-2 palindromic primes (A095743) in range ]2^n,2^(n+1)].at n=24A095753
- Structured disdyakis dodecahedral numbers (vertex structure 7).at n=10A100162
- Numbers k such that k and k^2 use only the digits 1, 2, 4, 6 and 8.at n=26A136994
- 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, 0, 1), (1, -1, 0), (1, 0, -1), (1, 1, 0)}.at n=7A150549
- Number of planar n X n X n binary triangular grids with no more than 1 one in any 3 X 3 X 3 subtriangle.at n=8A153550
- Number of 8X8X8 triangular nonnegative integer arrays with all sums of an element and its neighbors <= n.at n=1A166194
- Cubes (n * n * n) in carryless arithmetic mod 10.at n=21A169885
- Number of strings of numbers x(i=1..7) in 0..n with sum i^3*x(i)^2 equal to 343*n^2.at n=18A184308
- Snub dodecahedron with faces of centered polygons.at n=5A193249