10388
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 21546
- Proper Divisor Sum (Aliquot Sum)
- 11158
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4368
- Möbius Function
- 0
- Radical
- 742
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=27A011934
- Distinct even elements in 3-Pascal triangle A028262 (by row).at n=33A028269
- Even elements to right of central elements in 3-Pascal triangle A028262.at n=29A028273
- Numbers which can be written as b^2*c^2*(b^2+c^2).at n=20A063663
- Length of period of the continued fraction for sqrt(n!).at n=16A064025
- Pair the natural numbers such that the n-th pair is (k, k+p(n)) where k is the smallest number not occurring earlier and p(n) is the n-th prime. (1, 3), (2, 5), (4, 9), (6, 13), (7, 18), (8, 21), (10, 27), (11, 30), (12, 35), (14, 43), ... This is the sequence of the product of the members of every pair.at n=37A075316
- Number of divisors of 240^n.at n=13A103532
- Number of ways to split 1, 2, 3, ..., 4n into n arithmetic progressions each with 4 terms.at n=11A104430
- Number of valleys (i.e., (1,-1) followed by (1,1)) at level zero in all peakless Motzkin paths of length n+6 (can be easily translated into RNA secondary structure terminology).at n=9A110335
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having abscissa of the first return to the x-axis equal to 2k (1 <= k <= n).at n=49A129159
- Number of ways to place 3 nonattacking kings on an n X n toroidal board.at n=6A179404
- Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and permanent=trace.at n=32A211145
- a(n) = floor((n+1)*(n-3)*(n-4)/12).at n=52A212772
- Where records occur in A217287.at n=20A217289
- Triangle read by rows: T(p,q) (1<=q<=p) is the hyper-Wiener index of the Cartesian product of the cycles C(p) and C(q) (Torus Grid Graph).at n=27A228314
- The hyper-Wiener index of the Cartesian product of the cycles C(n) and C(n) (a Torus Grid Graph).at n=6A228316
- Numbers with the property that in their factorization over distinct terms of A050376, the sums of prime and nonprime terms of A050376 are equal.at n=15A241270
- Total number of N shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.at n=6A247738
- p-INVERT of the positive integers, where p(S) = 1 - 7*S^2.at n=6A290913
- Sum of values of vertices of type E at level n of the hyperbolic Pascal pyramid PP_(4,5).at n=8A293069