10680
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 32400
- Proper Divisor Sum (Aliquot Sum)
- 21720
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2816
- Möbius Function
- 0
- Radical
- 2670
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- 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
- Numbers k such that 57*2^k + 1 is prime.at n=24A002274
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=30A014642
- a(n) = floor(C(4n,2n)/C(4n,n)).at n=18A024501
- a(n) = (prime(n+2)^2 - 1)/3.at n=38A024700
- Expansion of x^2*(2 - x + x^2) / ((1 + x)*(1 - x)^4).at n=38A026035
- Second diagonal of A027516.at n=11A027520
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 3).at n=48A035537
- Number of points of L1 norm 3 in cubic lattice Z^n.at n=20A035597
- Coordination sequence for lattice D*_20 (with edges defined by l_1 norm = 1).at n=3A035609
- Coordination sequence for 20-dimensional cubic lattice.at n=3A035715
- E.g.f.: (1-x)/(1-3*x+x^2).at n=5A052568
- Number of 3 X 3 matrices, with elements from {0,...,n}, having the property that the middle element of each of the eight 3-element horizontal, vertical and diagonal lines equals the average of the two end elements.at n=39A059329
- Numbers k such that sigma(k) and sigma(k+1) are nontrivial powers (A065496).at n=11A065522
- Numbers k such that k*Sum_{d|k} 1/sigma(d) is an integer.at n=18A069166
- Partial sums of A084263.at n=39A084570
- Triangular array T(n,k) = Fibonacci(k+4)*C(n,k), k=0..n, n>=0.at n=62A094439
- Triangular array T(n,k) = Fibonacci(n+4-k)*C(n,k), k=0..n, n>=0.at n=58A094444
- Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n having trapezoid weight k.at n=52A104552
- Number of ordered triples (i,j,k) in range [0..n] satisfying i == j mod 2 and j == k mod 3.at n=39A115520
- Octagonal numbers for which the product of the digits is also an octagonal number.at n=26A117083