11716
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21420
- Proper Divisor Sum (Aliquot Sum)
- 9704
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5600
- Möbius Function
- 0
- Radical
- 5858
- 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
- 99
- 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
- Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.at n=40A001935
- Number of partitions satisfying 0 < cn(2,5) + cn(3,5).at n=34A039897
- Expansion of (1-x)/(1 - x - 4*x^2).at n=11A052923
- Number of partitions of 2n in which no parts are multiples of 4.at n=20A081055
- Expansion of psi(x) / phi(x) in powers of x where phi(), psi() are Ramanujan theta functions.at n=40A083365
- Number of partitions of n into relatively prime parts such that multiplicities of parts are also relatively prime.at n=34A100953
- Number of indecomposable partitions of n.at n=33A122697
- Elias omega coded prime numbers represented in decimal.at n=29A147764
- Number of nondecreasing sequences of 4 1..n integers with no element dividing the sequence sum.at n=24A212871
- Numbers k for which phi(k^2) = phi(k-1) * phi(k+1).at n=7A220169
- Number of partitions p of n not including round(mean(p)) as a part. (This is "Mathematica round"; for round(x) defined as floor(x + 1/2), see A241734.)at n=38A241339
- Number of partitions p of n such that round(mean(p)) is not a part of p; here, round(x) means floor(x + 1/2).at n=38A241734
- Numbers n such that the decimal expansions of both n and n^2 have 1 as smallest digit and 7 as largest digit.at n=26A257210
- Expansion of phi(-x^3) * psi(-x^3) / phi(-x)^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=13A260546
- Numbers m such that phi(m) = k*phi(m-k) for some number 1 <= k < m - 2.at n=38A266267
- Denominators of r-Egyptian fraction expansion for log(2), where r(k) = 1/Prime(k).at n=4A270485
- Intersection of A003052 and A283002.at n=25A283003
- Solutions to A000010(x) + A000010(x-1) = A000010(2*x).at n=10A299535
- Expansion of Product_{k>=1} 1/((1 - x^k) * (1 - x^(2*k)) * (1 - x^(3*k))).at n=22A327042
- a(n) is the number of edges formed by n-secting the angles of a square.at n=36A335527