10855
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 3257
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7968
- Möbius Function
- -1
- Radical
- 10855
- 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
- 205
- 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
- no
- Odd
- yes
Appears in sequences
- Sums of six consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=40A027865
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones.at n=24A031779
- Positive numbers having the same set of digits in base 9 and base 10.at n=36A037443
- Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) + 27 for n > 0.at n=17A102034
- Numbers n such that 9*10^n-7 is prime.at n=22A103092
- A (-1,-2) Somos-4 sequence associated to the elliptic curve y^2 +y = x^3 +3*x^2 +x.at n=9A178376
- Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*2^|x(i)| zero.at n=29A187990
- Number of permutations of 1..n with displacements restricted to {-6,-5,-4,-2,0,1,3}.at n=11A189597
- Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X n square under all symmetry operations of the square; irregular triangle T(n,k), n>=2, 0<=k<=floor(n/2)^2, read by rows.at n=38A236679
- a(n) = n*(1-3n+2*n^2+2*n^3)/2.at n=10A277977
- Number of non-equivalent ways to place 4 non-attacking kings on an n X n board.at n=6A279113
- Expansion of Sum_{i>=1} x^prime(i)/(1 - x^prime(i)) * Product_{j>=i} 1/(1 - x^prime(j)).at n=59A284827
- Triangle read by rows: T(n,k) (n>=0, 0<=k<=n) = number of partitions of n with exactly k kinds of 1's which are introduced in ascending order.at n=58A292746
- Deficient 2-hyperperfect numbers: numbers k such that 3*k/2 + 1/2 - sigma(k) is a proper divisor of k.at n=18A305617
- Number of partitions of n with exactly three sorts of part 1 which are introduced in ascending order.at n=7A320816
- Indices of records in A349325.at n=13A350277
- Index of first occurrence of n in A349325.at n=25A350278