2444
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4704
- Proper Divisor Sum (Aliquot Sum)
- 2260
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1104
- Möbius Function
- 0
- Radical
- 1222
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 40
- 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
- Numbers that are the sum of 8 positive 6th powers.at n=28A003364
- Numbers that are the sum of 4 positive 7th powers.at n=7A003371
- Numbers that are the sum of at most 4 positive 7th powers.at n=23A004866
- Numbers that are the sum of at most 5 positive 7th powers.at n=31A004867
- Numbers that are the sum of at most 6 positive 7th powers.at n=40A004868
- Numbers that are the sum of at most 7 positive 7th powers.at n=50A004869
- Number of distinct autocorrelations of binary words of length n.at n=50A005434
- Coordination sequence T3 for Zeolite Code MEP.at n=29A008159
- Coordination sequence T2 for Zeolite Code YUG.at n=32A008248
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^4)).at n=45A008804
- a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1*0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2*1.at n=23A014112
- Squares on infinite chessboard at n moves from center using a {2,3} fairy knight.at n=37A018839
- Sum of Floor[ 3*(1+sqrt(2))^(n-k) ] for k from 1 to infinity.at n=7A020964
- a(n) = n*(29*n - 1)/2.at n=13A022286
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=20A023867
- Integer nearest a(n-1)/(Pi - 3), where a(0) = 1.at n=4A024587
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=26A024932
- Coordination sequence T2 for Zeolite Code MWW.at n=33A024987
- Number of 5-unbalanced strings of length n (=2^n-A027560(n)).at n=13A027562
- a(n) = n*(n+5).at n=47A028557