2982
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 3930
- 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
- 840
- Möbius Function
- 1
- Radical
- 2982
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 92
- 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^4)/(1-x^10)/(1-x^20).at n=39A001307
- Numbers that are the sum of 7 positive 6th powers.at n=27A003363
- Coordination sequence T1 for Zeolite Code AEL.at n=36A008004
- Coordination sequence T2 for Zeolite Code SGT.at n=34A008230
- Expansion of Jacobi theta constant (theta_2/2)^12.at n=6A014787
- Number of partitions of n into distinct parts, none being 3.at n=53A015745
- Expansion of 1/((1-x)*(1-2*x)*(1-3*x)*(1-12*x)).at n=3A021064
- Number of compositions of n into 6 ordered relatively prime parts.at n=10A023031
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers).at n=11A024469
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n-k+1), where k = [n/2], s = (Lucas numbers).at n=11A025089
- Numbers k such that k*(k+7) is a palindrome.at n=10A028564
- Shifts left under COMPOSE transform with itself.at n=8A030266
- Coordination sequence T5 for Zeolite Code CFI.at n=36A033603
- Smallest number that takes n steps to reach 0 under "k->max product of 2 numbers whose concatenation is k".at n=13A035932
- Number of partitions of n such that cn(1,5) < cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5).at n=70A036859
- Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=26A039849
- Denominators of continued fraction convergents to sqrt(926).at n=7A042791
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n-1.at n=32A044414
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n+1.at n=32A044795
- Internal digits of n^2 include digits of n.at n=42A046832