1730
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3132
- Proper Divisor Sum (Aliquot Sum)
- 1402
- 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
- 688
- Möbius Function
- -1
- Radical
- 1730
- Omega Function (Ω)
- 3
- 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
- 148
- 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
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=36A000064
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=14A001239
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^10 in powers of x.at n=9A001488
- Representation degeneracies for Ramond strings.at n=13A005304
- Number of ways in which n identical balls can be distributed among 4 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=14A005337
- Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).at n=12A005914
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=24A005918
- Number of factorization patterns of polynomials of degree n over F_5.at n=14A006170
- Number of once reformable permutations of {1,2,...,n}.at n=6A007712
- Related to the asymptotic expansion of Sum_{k = 0..n} C(n,k)^4.at n=2A007804
- Coordination sequence T2 for Zeolite Code ATS.at n=30A008039
- Coordination sequence T3 for Zeolite Code ATS.at n=30A008040
- Coordination sequence T2 for Zeolite Code VFI.at n=32A008246
- a(n) = (n+1)*(n^2 +8*n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times.at n=19A008778
- Numbers that are the sum of 3 positive cubes in more than one way.at n=6A008917
- Coordination sequence T3 for Zeolite Code -CLO.at n=37A009852
- Coordination sequence T5 for Zeolite Code RSN.at n=27A009889
- Coordination sequence for CaF2(1), F position.at n=14A009924
- a(0) = 1, a(n) = 27*n^2 + 2 for n>0.at n=8A010017
- Coefficients in expansion of e as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=41A011189