11408
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 23808
- Proper Divisor Sum (Aliquot Sum)
- 12400
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 1426
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=31A014642
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=39A026067
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=16A045247
- Distinct even numbers in writing first numerator and then denominator of each element of the 1/4-Pascal triangle (by row).at n=27A046589
- a(n) = n*(2*n+5)*(n-1)/6.at n=32A051925
- McKay-Thompson series of class 50a for Monster.at n=61A058703
- The sequence A006863 (shifted by one) seems to be counting the periodic points for a map. If so, then this is the sequence of the numbers of orbits of length n.at n=14A060334
- Diagonal in array of n-gonal numbers A081422.at n=22A081435
- Numbers with exactly one arithmetic progression of four successive divisors (not necessarily consecutive).at n=13A094530
- 47-gonal numbers.at n=22A095311
- Admirable numbers n such that the subtracted divisor is > sqrt(n).at n=27A109321
- Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n and having k ascents (0<=k<=floor(n/3)).at n=47A114712
- Octagonal numbers for which the product of the digits is also an octagonal number.at n=28A117083
- "Cow patches" on the square lattice (see Jensen web site for further information).at n=3A121786
- Octagonal numbers which are the sums of exactly two positive octagonal numbers.at n=9A136346
- Expansion of (phi(-q^5) / phi(-q))^2 in powers of q where phi() is a Ramanujan theta function.at n=12A138517
- G.f.: A(x,y) = Sum_{n>=0,m>=0} (2^m-1)^n*x^n * log(1+y)^m/m!.at n=26A163353
- Numbers d*p where d is a perfect number and p<d a prime not dividing d.at n=15A165772
- Convolution of the Catalan numbers A000108(n) and (-2)^n.at n=10A167479
- Number of n X 2 binary arrays with every element equal to either the sum mod 2 of its vertical neighbors or the sum mod 2 of its horizontal neighbors.at n=10A183467