11128
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22680
- Proper Divisor Sum (Aliquot Sum)
- 11552
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5088
- Möbius Function
- 0
- Radical
- 2782
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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
- Powers of fifth root of 6 rounded up.at n=26A018131
- Trajectory of 3 under map n->37n+1 if n odd, n->n/2 if n even.at n=13A037116
- Triangle T, read by rows, equal to the matrix square of A118032 and also equal to a diagonal bisection of A118032; i.e., diagonal n of T equals diagonal 2n of A118032: T(n,k) = A118032(2n-k,k) for n>=k>=0.at n=58A118040
- Numbers k such that k and k^2 use only the digits 1, 2, 3, 4 and 8.at n=27A136971
- Row sums of triangle defined in A113821.at n=27A160969
- Sum_{j=k(n)..prime(n)} j where k is the n-th nonprime nonnegative integer.at n=36A161669
- Lexicographically earliest increasing sequence which lists the positions of the zero digits in the sequence.at n=21A167519
- Number of (n+1)X3 0..2 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one.at n=6A184074
- Number of (n+1)X8 0..2 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one.at n=1A184079
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one.at n=29A184081
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one.at n=34A184081
- Position of the circles with center at a lattice point that contain record numbers of lattice points, in the list of Loeschian numbers A003136.at n=9A230656
- Number of pairs of functions f, g on a size n set into itself satisfying f(f(g(x))) = f(g(g(x))).at n=4A239780
- Number of subsets of {1,...,n} containing n and having at least one set partition into 10 blocks with equal element sum.at n=8A248119
- a(n) = n + (n base 2 regarded as a decimal number).at n=28A269130
- Let s(k) denote the sum of the even proper divisors of k. The sequence lists the pairs of numbers (x, y) such that s(x) = y and s(y) = x.at n=7A279812
- List of ordered pairs (x, y) from A279812.at n=7A279950
- Numbers with digit sum 13 that are multiples of 13.at n=42A283737
- Number T(n,k) of entries in the k-th last blocks of all set partitions of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows.at n=51A286416
- Sequence P(n) arising in the analysis of the Hofstadter "brother" sequence A284644.at n=12A293947