2408
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5280
- Proper Divisor Sum (Aliquot Sum)
- 2872
- 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
- 1008
- Möbius Function
- 0
- Radical
- 602
- 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
- 19
- 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
- Number of symmetrical planar partitions of n (planar partitions (A000219) that when regarded as 3-D objects have just one symmetry plane).at n=27A000784
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=19A001486
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=21A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=21A002706
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=37A008110
- Coordination sequence T2 for Zeolite Code MAZ.at n=34A008145
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=13A008457
- Coordination sequence T1 for Zeolite Code -ROG.at n=37A009859
- Partial sums of A001935; at one time this was conjectured to agree with A007478.at n=26A014605
- Numbers n such that phi(n) * sigma(n) + 9 is a perfect square.at n=28A015728
- Numbers k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=18A015850
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11).at n=31A017833
- a(n) is least k such that k and 7k are anagrams in base n (written in base 10).at n=41A023099
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=24A025001
- Number of partitions of n into distinct parts, the least being odd.at n=50A026832
- a(n) = (prime(n)-1)*(prime(n)-5)/12.at n=37A030006
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 14.at n=6A031692
- Numbers whose set of base-13 digits is {1,3}.at n=17A032920
- Every run of digits of n in base 13 has length 2.at n=14A033011
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=27A033026