1724
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
- 6
- Divisor Sum
- 3024
- Proper Divisor Sum (Aliquot Sum)
- 1300
- 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
- 860
- Möbius Function
- 0
- Radical
- 862
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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 k such that 45*2^k - 1 is prime.at n=39A002242
- a(n) = n^3 - floor( n/3 ).at n=12A002901
- Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,2).at n=6A003290
- Number of (undirected) Hamiltonian paths in the n-ladder graph K_2 X P_n.at n=41A003682
- Dodecahedral surface numbers: a(0)=0, a(1)=1, a(2)=20, thereafter 2*((3*n-7)^2 + 21).at n=12A007589
- Coordination sequence T1 for Zeolite Code ATS.at n=30A008038
- a(n) = floor(n(n-1)(n-2)(n-3)/19).at n=15A011929
- a(n) = n^2 + n + 2.at n=41A014206
- Coordination sequence T2 for Zeolite Code OSI.at n=27A016431
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=35A017844
- Numbers k such that the continued fraction for sqrt(k) has period 36.at n=14A020375
- Convolution of natural numbers >= 3 and Fibonacci numbers.at n=11A023552
- a(n) = least m such that if r and s in {h/(1 + h^2): h = 1,2,...,n} satisfy r < s, then r < k/m < s for some integer k.at n=46A024828
- a(n) = sum of the numbers between the two n's in A026346.at n=27A026349
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=10A030653
- Cube root of A030697.at n=7A030698
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 20.at n=30A031518
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 16 ones.at n=45A031784
- Concatenation of n and n+7.at n=16A032612
- Number of partitions of n into parts 5k or 5k+1.at n=57A035367