10184
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20400
- Proper Divisor Sum (Aliquot Sum)
- 10216
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4752
- Möbius Function
- 0
- Radical
- 2546
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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 sigma(k) = sigma(k+10).at n=19A015880
- Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5) < cn(0,5).at n=13A036895
- Number of pentagonal regions in regular n-gon with all diagonals drawn.at n=33A067152
- Column 2 of triangle A128562.at n=14A128563
- a(n) = A121295(n) - A121263(n).at n=17A131011
- Number of 2n-digit primes that are concatenation of n two-digit distinct primes p_1...p_n: 10<p_1<p_2<...<p_n>98.at n=6A168519
- Numbers with abundance 32.at n=3A175989
- Number of 3-step knight's tours on an (n+2) X (n+2) board summed over all starting positions.at n=13A186852
- Number of n X 6 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=42A188863
- Second crank moment minus second rank moment: M_2(n) - N_2(n) = 2*spt(n).at n=22A211982
- G.f.: 1 / ( (1 + x^2 - x^3)^2 * (1 - x - 2*x^2 - x^3) ).at n=13A218438
- Number of nondecreasing -n..n vectors of length 3 whose dot product with some nonincreasing -n..n vector equals 3.at n=19A226400
- Number of nondecreasing -n..n vectors of length 3 whose dot product with some nondecreasing -n..n vector equals 3.at n=19A226411
- Number of (n+1) X (2+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order.at n=8A231338
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order.at n=46A231343
- Number of distinct cyclic permutations of the partitions of n; see comments.at n=22A236292
- Partial sums of A247666.at n=43A253767
- Numbers whose abundance is a power of 2.at n=40A259174
- Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and every four consecutive elements having its maximum within 4 of its minimum.at n=18A263709
- Numbers k such that k and k+1 both have 16 divisors.at n=20A274359