2499
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4104
- Proper Divisor Sum (Aliquot Sum)
- 1605
- 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
- 1344
- Möbius Function
- 0
- Radical
- 357
- 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
- 177
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=23A000327
- a(n) = 4*n^2 - 1.at n=25A000466
- a(n) = (4*n+1)*(4*n+3).at n=12A001539
- Expansion of g.f.: (1+x^3)*(1+x^4)/((1-x)*(1-x^2)^2*(1-x^4)).at n=38A004657
- a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.at n=47A004978
- a(n) = n*(n+2) = (n+1)^2 - 1.at n=49A005563
- Number of strictly 2-dimensional one-sided polyominoes with n cells.at n=9A006758
- Number of strict 5th-order maximal independent sets in cycle graph.at n=44A007393
- Coordination sequence T1 for Zeolite Code LEV.at n=37A008127
- Coordination sequence T3 for Zeolite Code ZON.at n=35A009921
- Numbers k that divide s(k), where s(1)=1, s(j)=18*s(j-1)+j.at n=42A014868
- Quadruples of different integers from [ 1,n ] with no common factors between pairs.at n=27A015623
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=27A015628
- Pseudoprimes to base 50.at n=25A020178
- a(n) is least k such that k and 9k are anagrams in base n (written in base 10).at n=3A023101
- Numbers k such that 149*2^k+1 is prime.at n=22A032424
- a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=28A033679
- Positive numbers having the same set of digits in base 3 and base 7.at n=40A037419
- Numbers which are one less than a perfect square that cannot otherwise be written as a power.at n=39A037450
- Maximal base 5 run length is 4.at n=27A037983