10932
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
- 12
- Divisor Sum
- 25536
- Proper Divisor Sum (Aliquot Sum)
- 14604
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3640
- Möbius Function
- 0
- Radical
- 5466
- Omega Function (Ω)
- 4
- 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
- 42
- 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
- Moebius transform of Fibonacci numbers.at n=20A007436
- Number of partitions of n into parts not of the form 11k, 11k+5 or 11k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=40A035948
- Number of compositions of n into odd and relatively prime parts.at n=20A108700
- a(n)=a(n-1)+sum of digits(a(n-1))*sum of digits(a(n-2)).at n=40A108720
- Next term is the sum of previous term and the square of the sum of its decimal digits, with a(0) = 10.at n=36A112787
- Numbers k such that k and 8*k, taken together, are pandigital.at n=9A114126
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 3,1 4,0 5,1 polyhexes in any orientation on a planar n X n X n triangular grid.at n=7A155326
- Triangle: m=3; e(n,k,n) = (k + m - 1)*e(n - 1, k, m) + (m*n - k + 1 - m)*e(n - 1, k - 1, m); t(n,k) = e(n,k,m) + e(n,n-k,m).at n=22A156186
- Triangle: m=3; e(n,k,n) = (k + m - 1)*e(n - 1, k, m) + (m*n - k + 1 - m)*e(n - 1, k - 1, m); t(n,k) = e(n,k,m) + e(n,n-k,m).at n=26A156186
- a(n) = 841*n - 1.at n=12A158402
- Numbers k such that k^3 +-5 are primes.at n=43A176684
- Catalan Unranking function U(size,rank) for totally balanced binary strings (converted to decimal). Each row 'size' of an array lists all A000108(size) such items in standard lexicographic order, followed by an infinite number of zeros.at n=62A213704
- G.f.: 1 / (1 + 6*x*G(x) - 7*x*G(x)^2), where G(x) = 1 + x*G(x)^3 is the g.f. of A001764.at n=6A226751
- Number of (n+1) X (2+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.at n=13A231390
- Expansion of ( -1-2*x+x^2+x^3 ) / (x^2+x-1)^3 .at n=11A261055
- Number of distinct chromatic symmetric functions realizable by a graph on n vertices.at n=7A277203
- Sum of the largest parts of the partitions of n into 9 squarefree parts.at n=41A326532
- Number of compositions (ordered partitions) of n into distinct parts where no part is a multiple of 3.at n=36A332309
- Numbers that are the sum of seven fourth powers in five or more ways.at n=17A345571
- Numbers that are the sum of seven fourth powers in exactly five ways.at n=16A345827