1242
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 1638
- 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
- 396
- Möbius Function
- 0
- Radical
- 138
- 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
- 88
- 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
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=18A001107
- Number of partitions of 3n into n parts from the set {0, 1, ..., 6} (repetitions admissible).at n=14A001977
- Number of "cubic partitions" of n: expansion of Product_{k>0} 1/((1-x^(2k))^2*(1-x^(2k-1))) in powers of x.at n=17A002513
- A nonlinear recurrence.at n=29A003073
- Numbers that are the sum of 10 positive 6th powers.at n=19A003366
- Primes written in base 5.at n=44A004679
- Column of Motzkin triangle.at n=5A005325
- Numbers k such that 10*3^k - 1 is prime.at n=33A005542
- Definition (1): Number of unlabeled strength-2 Eulerian graphs with n nodes.at n=5A007127
- Coordination sequence T4 for Zeolite Code EUO.at n=22A008099
- Expansion of (1+x^7)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=43A008768
- Expansion of (1+x^12)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=45A008773
- Expansion of Product_{k>=1} (1 - x^k)^18.at n=5A010824
- Numbers k such that sigma(k) = sigma(k+12).at n=16A015882
- Number of "bifix-free" words of length n over a three-letter alphabet.at n=7A019308
- a(n+1) (n >= 1) is smallest number > a(n) which is the sum of cubes of distinct earlier terms.at n=25A019511
- Pisot sequence P(6,11), a(0)=6, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1).at n=9A021011
- Expansion of Product_{m>=1} (1+x^m)^2.at n=19A022567
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(3).at n=28A022769
- Place where n-th 1 occurs in A023129.at n=38A022791