11388
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 29008
- Proper Divisor Sum (Aliquot Sum)
- 17620
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 5694
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 174
- Smith Number
- yes
- 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
- Theta series of direct sum of 2 copies of f.c.c. lattice.at n=18A008663
- Powers of fifth root of 7 rounded down.at n=24A018132
- a(n) = n*(15*n - 1)/2.at n=39A022272
- Number of ways of getting 5 of a kind, royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker with two jokers wild.at n=5A053083
- Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, royal flush or 5 of a kind in 5-card poker with two jokers wild.at n=5A053084
- Numbers k such that k | sigma_6(k).at n=36A055710
- Number of ways of getting (at least) 5 of a kind, a straight flush, 4 of a kind, flush, full house, straight, 3 of a kind, 2 pair, a pair in wild-card poker with 2 jokers.at n=3A057806
- Numbers k such that sopf(k) = sopf(k+2), where sopf(k) = A008472(k).at n=13A063968
- Row sums of A103462.at n=10A103480
- Triangle read by rows, based on a simple Jacobsthal number recursion rule.at n=39A114163
- Row sums of number triangle A116382.at n=12A116383
- Multiples of 13 containing a 13 in their decimal representation.at n=32A121033
- Numbers n such that 6*p(n)-1 and 6*p(n)+1 are twin primes and 6*p(n+1)-1 and 6*p(n+1)+1 are also twin primes with p(n) = n-th prime.at n=19A126655
- Number of right triangles on a (n+1)X7 grid.at n=11A189811
- Number of (w,x,y) with all terms in {0,...,n} and 2*|w-x| > max(w,x,y) - min(w,x,y).at n=25A213045
- Number of lattice points in the closed region bounded by the graphs of y = (5/6)*x^2, x = n, and y = 0, excluding points on the x-axis.at n=33A227347
- Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock equal.at n=3A236980
- Number of (n+1)X(4+1) 0..3 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock equal.at n=0A236983
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock equal.at n=6A236987
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock equal.at n=9A236987