12099
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16720
- Proper Divisor Sum (Aliquot Sum)
- 4621
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7776
- Möbius Function
- -1
- Radical
- 12099
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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) = (4*n+1)*(4*n+3).at n=27A001539
- Number of rooted triangular cacti with 2n+1 nodes (n triangles).at n=10A003080
- Self-convolution of natural numbers >= 3.at n=36A023551
- dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).at n=31A026063
- Numbers n such that 55*2^n-1 is prime.at n=36A050553
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2,3)=binomial(j+2,3)+k^3, ordered by increasing i; sequence gives k values.at n=51A054223
- Numbers k such that the product of the first k composite numbers minus 1 is a prime.at n=24A057017
- Zero, together with positive numbers k such that prime(k) + k is a square.at n=42A064371
- Squarefree numbers k with largest prime factor = floor(sqrt(k)).at n=18A071311
- Expansion of (1+x^4*C)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071744
- Smallest k such that the simple continued fraction for Sum(d|k, 1/d) contains exactly n elements.at n=16A071865
- Numbers k such that phi(k) is a perfect 5th power.at n=33A078165
- 3 times octagonal numbers: a(n) = 3*n*(3*n-2).at n=37A152751
- a(n) = 484*n - 1.at n=24A158330
- The odd composites c such that c=q*g*j*y/2 and q+g=j*y where q,g,j,y are distinct primes.at n=26A167629
- Product of two consecutive odd numbers k, k+2 such that (k*(k+2))+-2 are primes.at n=6A174383
- a(n) = n^3 - 3n^2 + 3.at n=24A177058
- Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k up-down runs (1 <= k <= n).at n=32A186370
- Number of idempotent 3 X 3 0..n matrices of rank 1.at n=41A224525
- Numbers n such that the digits of sigma(n) are a permutation of those of sigma*(n), where sigma*(n) is the sum of anti-divisors of n (A066417).at n=46A230541