11480
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
- 32
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 18760
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 2870
- 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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 81
- 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
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=40A000292
- Number of compositions of n into 4 ordered relatively prime parts.at n=39A000742
- 4-dimensional figurate numbers: a(n) = (6*n-2)*binomial(n+2,3)/4.at n=13A002419
- Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=20A002492
- Binomial coefficient C(3n,n-11).at n=3A004329
- Binomial coefficient C(6n,n-4).at n=3A004359
- Binomial coefficient C(7n,n-3).at n=3A004371
- Dodecahedral numbers: a(n) = n*(3*n - 1)*(3*n - 2)/2.at n=14A006566
- a(n) = Sum_{k=1..n-1} lcm(k,n-k).at n=41A006580
- Binomial coefficient C(42,n).at n=3A010958
- Binomial coefficient C(n,39).at n=3A010992
- Expansion of e.g.f. sinh(tan(x) + log(x+1)).at n=7A012929
- Even tetrahedral numbers.at n=30A015220
- (prime(n)-5)(prime(n)-7)(prime(n)-9)/48.at n=21A030002
- a(n) = C(n)*(C(n)-1)*(C(n)-2)/6, where C(n) are the Catalan numbers (A000108).at n=5A051790
- a(n) = Sum_{k = 1..n, gcd(k,n)=1} k*(n-k).at n=40A057789
- Numbers k such that sigma(k) divides sigma(sigma(k)).at n=27A066961
- One-sixth of the area of some primitive Heronian triangles with a distance of 2n+1 between the median and altitude points on the longest side.at n=4A074076
- Binomial(n, smallest odd prime factor of n).at n=41A080212
- Length of list generated by n replacements of k by {-1-|k|, .., 1+|k|} with increment 2, starting with {1}.at n=7A083692