1748
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3360
- Proper Divisor Sum (Aliquot Sum)
- 1612
- 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
- 792
- Möbius Function
- 0
- Radical
- 874
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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
- Expansion of Product (1 - x^k)^8 in powers of x.at n=50A000731
- a(1) = 1; thereafter a(n+1) = floor(sqrt(2*a(n)*(a(n)+1))).at n=20A001521
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=23A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=23A004944
- a(n) = n*(n+4)*(n+5)/6.at n=19A005586
- Site percolation series for square lattice.at n=15A006731
- Coordination sequence T2 for Zeolite Code EUO.at n=26A008097
- Coordination sequence T2 for Zeolite Code MFS.at n=26A008174
- Coordination sequence T2 for Zeolite Code YUG.at n=27A008248
- Expansion of log(1+tan(x))*exp(x).at n=7A009371
- Coordination sequence T1 for Zeolite Code -PAR.at n=30A009855
- Coordination sequence for CaF2(1), Ca position.at n=14A009923
- Numbers k such that sigma(k) = sigma(k+7).at n=11A015867
- Expansion of Product_{m>=1} (1 + m*q^m)^19.at n=3A022647
- a(n) = floor(floor(S3)/floor(S1)); where S3 and S1 are, respectively, the third and first elementary symmetric functions of {log(k)}, k = 1,2,...,n.at n=35A025210
- a(n) = (d(n)-r(n))/5, where d = A026043 and r is the periodic sequence with fundamental period (0,2,3,0,0).at n=26A026045
- Number of partitions of n into distinct parts, the least being even.at n=53A026833
- a(n) = n-th largest even number in array T given by A027170.at n=30A027183
- Sequence satisfies T^2(a)=a, where T is defined below.at n=40A027585
- a(n) = n*(n+8).at n=38A028566