11800
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27900
- Proper Divisor Sum (Aliquot Sum)
- 16100
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4640
- Möbius Function
- 0
- Radical
- 590
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 143
- 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
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=24A002413
- Numbers k such that phi(k) + 10 | sigma(k).at n=13A015801
- Graham-Sloane-type lower bound on the size of a ternary (n,3,4) constant-weight code.at n=31A030504
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 13 ones.at n=18A031781
- House numbers (version 2): a(n) = (n+1)^3 + (n+1)*Sum_{i=0..n} i.at n=19A050509
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=27A065255
- Diagonal sums of A083856.at n=14A110113
- Number of partitions of n such that the largest part is coprime to every other part.at n=40A130690
- Sum of staircase twin primes according to the rule: top * bottom + next top.at n=9A135286
- Ulam's spiral (SSW spoke).at n=27A143838
- Partial sums of A165271.at n=28A165273
- a(1)=4. a(n) = a(n-1) + n, if a(n-1)+n is composite. Otherwise a(n) = a(n-1)*n.at n=9A175459
- Sums of least knight's moves from (0,0) to points in the square lattice [-n,n]x[-n,n].at n=19A183047
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209776; see the Formula section.at n=48A209775
- Numbers n such that sum of squares of digits of n equals the sum of prime divisors of n.at n=26A217390
- Even heptagonal pyramidal numbers.at n=17A218325
- Sum_{i=0..n} Sum_{j=0..n} (i AND j), where AND is the binary logical AND operator.at n=40A224924
- Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 5.at n=38A245145
- Total tail length of all iteration trajectories of all elements of random mappings from [n] to [n].at n=4A262973
- Hexagonal spiral constructed on the nodes of the triangular net in which each new term is the sum of its neighbors.at n=57A278181