10328
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
- 8
- Divisor Sum
- 19380
- Proper Divisor Sum (Aliquot Sum)
- 9052
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5160
- Möbius Function
- 0
- Radical
- 2582
- Omega Function (Ω)
- 4
- 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
- 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
- Number of 3's in n-th term of A022482.at n=36A022486
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 25.at n=38A031523
- Number of basis partitions of n+81 with Durfee square size 9.at n=22A069252
- Least k such that 10^n + k - 1 is the first of a pair of twin primes.at n=38A103129
- 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, -1, 0), (0, 0, -1), (0, 1, 1), (1, 0, 1)}.at n=8A150070
- Number of nondecreasing arrangements of n numbers in -5..5 with sum zero and sum of squares less than n*30/3.at n=11A183931
- Q-toothpick sequence (see Comments for precise definition).at n=64A187210
- The Wiener index of the comb-shaped graph |_|_|...|_| with 2n (n>=1) nodes. The Wiener index of a connected graph is the sum of the distances between all unordered pairs of vertices in the graph.at n=23A192023
- Number of (1+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction.at n=33A250756
- Number of length 2+2 0..n arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero.at n=14A251429
- Number of (3+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.at n=14A258556
- Base-3 reversal of 2^n: a(n) = A030102(A000079(n)).at n=14A264980
- Number of set partitions of [n] with decreasing block sizes.at n=11A275309
- G.f.: Product_{n=-oo..+oo} (1 + x^n*(1 + x^n)^n).at n=22A293603
- Indices of primes followed by a gap (distance to next larger prime) of 44.at n=5A320720
- a(n) = Sum_{1 <= i <= j <= k <= m <= n} gcd(i,j,k,m).at n=19A344992
- Irregular triangle read by rows: T(n,k) is the number of compositions of n with k records.at n=64A382312