11377
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11776
- Proper Divisor Sum (Aliquot Sum)
- 399
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10980
- Möbius Function
- 1
- Radical
- 11377
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = Sum_{k = 1..n} (n - k + 1)^k.at n=9A003101
- a(n) = 3*a(n-1) - 3*a(n-3) + 2*a(n-4), with a(0)=4, a(1)=11.at n=8A019496
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=12A031838
- Semiprimes that are the sum of two positive cubes. Common terms of A003325 and A046315.at n=39A085366
- Maximum sum of products of successive pairs in a permutation of order n+1.at n=31A101986
- Numbers which are the sum of two positive cubes and divisible by 31.at n=20A102658
- Number of benzenoids with 21 hexagons, C_(2h) symmetry and containing 2n carbon atoms.at n=7A121964
- Terms of A024670 that are not in A141805.at n=18A141806
- a(n) is the smallest nonnegative number whose American English name has the letter "n" in the n-th position.at n=37A164791
- Odd composite numbers n, such that n, n+d, n*d and n/d are all odious (A000069) for every divisor d of n.at n=22A231558
- Irregular array read by rows: T(n,k) = number of r_{n,k}-cores associated with A233332(n,k), for n>=2, 1<=k<=floor(n/2), explained below.at n=38A233330
- Number of (n+1)X(7+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=3A250728
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=48A250729
- Number of (4+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=6A250733
- Number T(n,k) of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals k; triangle T(n,k), n>=0, 0<=k<=max(n-1,0), read by rows.at n=47A287215
- a(n) is the number of integer partitions of n for which the largest part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight.at n=52A318203
- Number of Integer solutions to w^2 + x^2 + y^2 + z^2 < n^2; number of lattice points inside a 4-sphere of radius n.at n=7A319617
- Negated inverse Euler transform of {-1 if n is a triangular number else 0, n > 0} = -A010054.at n=29A320784
- Numbers k that have the same set of digits in base 10 as primepi(k).at n=41A355418
- Numbers k such that k, k + 1, k + 2, and k + 4 are all semiprimes.at n=36A368670