1290
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
- 3168
- Proper Divisor Sum (Aliquot Sum)
- 1878
- 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
- 336
- Möbius Function
- 1
- Radical
- 1290
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 101
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=35A001365
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=118A006509
- McKay-Thompson series of class 6C for Monster (and, apart from signs, of class 12A).at n=8A007256
- Coordination sequence T1 for Zeolite Code PHI.at n=26A008227
- Average of twin prime pairs.at n=43A014574
- Numbers k that divide s(k), where s(1)=1, s(j)=6*s(j-1)+j.at n=41A014853
- Quadruples of different integers from [ 2,n ] with no global factor.at n=14A015627
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9).at n=38A017840
- Powers of cube root of 2 rounded down.at n=31A017979
- Powers of cube root of 2 rounded to nearest integer.at n=31A017980
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEI = ZSM-18 Nan[AlnSi34-nO68].28H2O (n=2.1-5.7) starting with a T1 atom.at n=10A019145
- Least k such that A020951(k) = n.at n=27A020953
- a(n) = [ a(n-1)/a(1) + a(n-2)/a(2) + ... + a(1)/a(n-1) ], for n >= 3.at n=22A022869
- Number of solutions to c(1)*prime(1) + ... + c(n)*prime(n) = 2, where c(i) = +-1 for i > 1, c(1) = 1.at n=18A022896
- a(n) = position of n^2 + (n+1)^2 in A004431 (sums of 2 distinct nonzero squares).at n=47A024513
- Coordination sequence T3 for Zeolite Code IFR.at n=25A024984
- Index of 7^n within the sequence of the numbers of the form 4^i*7^j.at n=42A025722
- a(n) = sum of the numbers between the two n's in A026342.at n=37A026345
- a(n) = n-th largest even number in array T given by A027170.at n=27A027183
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=14A027578