6024
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 9096
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2000
- Möbius Function
- 0
- Radical
- 1506
- 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
- 23
- 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
- High temperature expansion of -u/J in odd powers of v = tanh(J/kT), where u is energy per site of the spin-1/2 Ising model on square lattice with nearest-neighbor interaction J at temperature T.at n=7A002908
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=22A004112
- Aliquot sequence starting at 552.at n=5A014360
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-9).at n=20A023439
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=33A024814
- Number of partitions satisfying (cn(0,5) <= cn(2,5) = cn(3,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=48A036816
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=41A043079
- Triangle of rooted planar maps up to orientation-preserving isomorphisms.at n=70A046653
- Sin(n) decreases monotonically to -1.at n=13A046964
- Numbers n such that 243*2^n-1 is prime.at n=34A050880
- McKay-Thompson series of class 14A for Monster.at n=13A058497
- Number of distinct differences between consecutive divisors (ordered by increasing magnitude) of n! which are not also divisors of n!.at n=19A060738
- Numbers k such that floor(tan(k)) > floor(tan(m)) for all m < k.at n=30A063537
- Numbers k such that the largest prime factor of k is equal to the sum of primes dividing k+1 (with repetition).at n=9A071861
- Number of 3-colorable (i.e., chromatic number <= 3) simple graphs on n nodes.at n=7A076315
- a(0)=1; a(n) is the smallest integer > a(n-1) such that sin(a(n)) is closer to an integer (here 0 or -1) than sin(a(n-1)).at n=12A079037
- Positions of the records in A089294. First integer requiring a larger prime in its representation by (signed) sums of squares of distinct primes than all preceding integers.at n=6A089295
- Triangle, read by rows, where the n-th row lists the coefficients of the polynomial of degree n, with root -1, that generates the n-th diagonal of this sequence.at n=46A091173
- Row sums of triangle A091173, in which the n-th row lists the coefficients of the polynomial that generates the n-th diagonal.at n=8A091175
- Number of permutations p of [n] such that the n-1 sums p(i)+p(i+1) (i=1,2,...n-1) are all distinct.at n=8A091217