1740
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
- 24
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 3300
- 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
- 448
- Möbius Function
- 0
- Radical
- 870
- Omega Function (Ω)
- 5
- 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
- 29
- 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
- a(n) = a(n-1) + n*a(n-2); a(0) = a(1) = 1.at n=8A000932
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=43A002382
- Representation degeneracies for boson strings.at n=27A005291
- a(n) is the smallest positive integer a for which there is an identity of the form a*n*x = Sum_{i=1..m} ai*gi(x)^n where a1, ..., am are in Z and g1(x), ..., gm(x) are in Z[x].at n=29A005729
- Successive integers produced by Conway's PRIMEGAME.at n=33A007542
- Expansion of Jacobi theta constant theta_2^6 /(64q^(3/2)).at n=29A008440
- a(n) = n OR n^3 (applied to binary expansions).at n=11A008468
- a(n) = n OR n^3 (applied to ternary expansions).at n=11A008469
- Numbers k such that C(k,3) = C(x,3) + C(y,3) is solvable.at n=43A010330
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=30A011896
- Number of lines through exactly 9 points of an n X n grid of points.at n=56A018816
- Theta series of D_30 lattice.at n=1A022061
- Theta series of D*_30 lattice.at n=4A022083
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=3.at n=14A022308
- Index of 5^n within sequence of numbers of form 2^i * 5^j.at n=38A022334
- Coordination sequence T2 for Zeolite Code MWW.at n=28A024987
- Index of 6^n within the sequence of the numbers of the form 4^i*6^j.at n=51A025714
- Index of 8^n within the sequence of the numbers of the form 5^i*8^j.at n=51A025729
- Index of 10^n within the sequence of the numbers of the form 3^i*10^j.at n=40A025741
- a(n) = sum of the numbers between the two n's in A026242.at n=39A026271