11288
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22680
- Proper Divisor Sum (Aliquot Sum)
- 11392
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5248
- Möbius Function
- 0
- Radical
- 2822
- 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
- 37
- 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
- Series for first parallel moment of square lattice.at n=10A006728
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=44A080392
- Number of partitions of n such that the largest part and the smallest part are relatively prime.at n=33A117087
- Twice 12-gonal numbers: a(n) = 2*n*(5*n-4).at n=34A152965
- a(n) = n*(2*n^2 + 5*n + 1).at n=17A163832
- a(n) = A002526(n+2) + A002526(n) - A002527(n+2) - A002527(n+1) + A002527(n) - A188493(n).at n=10A188492
- Partial sums of A014817.at n=45A227841
- Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=40A239594
- Number of partitions p of n such that (number of numbers in p of form 3k+2) > (number of numbers in p of form 3k).at n=38A241742
- G.f.: 1/(1+x) * Product_{k>=1} 1/(1-x^k)^k.at n=17A277963
- Infinitary Zumkeller numbers (A335197) whose set of infinitary divisors can be partitioned into two disjoint sets of equal sum in a single way.at n=31A335199
- Bi-unitary Zumkeller numbers (A335215) whose set of bi-unitary divisors can be partitioned into two disjoint sets of equal sum in a single way.at n=45A335217
- Abundant pseudoperfect numbers k such that no subset of the nontrivial divisors {d|k : 1 < d < k} sums to k.at n=43A339343
- a(n) = 8*n^2 - 7*n + 2.at n=38A360417
- Numbers k such that x=(sigma(k) XOR 2*k) divides k in carryless binary arithmetic, when the binary expansions of k and x are interpreted as polynomials in ring GF(2)[X].at n=38A379236