11824
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
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 22940
- Proper Divisor Sum (Aliquot Sum)
- 11116
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5904
- Möbius Function
- 0
- Radical
- 1478
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 24
- 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
- Numbers such that ten iterations of Reverse and Add are needed to reach a palindrome.at n=30A015991
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=27A020439
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=33A031820
- Numbers ending with '4' that are the difference of two positive cubes.at n=28A038859
- Expansion of e.g.f. exp(x*exp(x)-x).at n=8A052506
- Numbers which need ten 'Reverse and Add' steps to reach a palindrome.at n=29A065215
- Interprimes which are of the form s*prime, s=16.at n=13A075291
- Natural numbers of the form p^3 - q^3, where p and q are primes.at n=34A086120
- Numbers n such that 9*2^(2*n-1) - 1 is prime.at n=30A091996
- Numbers n such that n and its digit reversal R(n) both are difference of positive cubes.at n=18A109879
- Numbers n such that 2*prime(n) - prime(n+1) is a square.at n=47A110975
- Triangle read by rows: T(n,k) is the number of length n left factors of Dyck paths having k UUDD's, where U=(1,1) and D=(1,-1).at n=46A191793
- a(n) = n*(5n^2 + 3n + 4) / 6.at n=24A203551
- a(n) = n^3 - floor(n/3)^3.at n=23A213039
- Number of primes p such that sqrt(q) - sqrt(p) > 1/n, where q is the prime after p.at n=44A218015
- Number T(n,k) of ballot sequences of length n having difference k between the multiplicities of the smallest and the largest value; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=69A238707
- Numbers for which the cube of the sum of the digits is equal to the square of the product of their digits.at n=8A241846
- Number of standard Young tableaux with n cells such that the lengths of the first and the last row differ by 3.at n=6A244297
- E.g.f.: exp(10*x*G(x)^9) / G(x) where G(x) = 1 + x*G(x)^10 is the g.f. of A059968.at n=3A251670
- Triangle read by rows: T(n,k) = number of partial idempotent mappings (of an n-chain) with collapse exactly k.at n=44A259759