10448
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 20274
- Proper Divisor Sum (Aliquot Sum)
- 9826
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5216
- Möbius Function
- 0
- Radical
- 1306
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CHI = Chiavennite Ca4Mn4[Be8Si20O52(OH)8].8H2O starting with a T1 atom.at n=13A019091
- Numbers k such that 195*2^k+1 is prime.at n=27A032474
- Multiplicity of highest weight (or singular) vectors associated with character chi_33 of Monster module.at n=37A034421
- L1-coordination sequence for E_8 lattice in Construction A version of the lattice.at n=5A045651
- 23-gonal numbers: a(n) = n(21n-19)/2.at n=32A051875
- Numbers k such that k^512 + 1 is prime.at n=30A057465
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=33A063364
- Lesser of two consecutive numbers each divisible by a fourth power.at n=20A068782
- a(n) = n*(2*n^2 -3*n +7)/6 = C(n, 1) + C(n, 2) + 2*C(n, 3).at n=31A081489
- a(n) = ((5+sqrt(3))*(1+sqrt(3))^n + (5-sqrt(3))*(1-sqrt(3))^n)/2.at n=8A162562
- Number of nX2 0..3 arrays with row sums equal and column sums equal.at n=7A202680
- T(n,k)=Number of nXk 0..3 arrays with row sums equal and column sums equal.at n=37A202686
- T(n,k)=Number of nXk 0..3 arrays with row sums equal and column sums equal.at n=43A202686
- Numbers equal to the Euler totient function of their arithmetic derivative: k = phi(k').at n=41A217715
- Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX3 array.at n=6A219797
- T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array.at n=42A219802
- Number of 7Xn arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 7Xn array.at n=2A219808
- Number of nX4 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero.at n=4A230802
- Number of nX5 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero.at n=3A230803
- T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero.at n=31A230805