1664
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3570
- Proper Divisor Sum (Aliquot Sum)
- 1906
- 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
- 768
- Möbius Function
- 0
- Radical
- 26
- Omega Function (Ω)
- 8
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 16
- 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_{k>=1} (1 - x^k)^16.at n=7A000739
- A generalized Fibonacci sequence.at n=42A001584
- High-temperature series for spin-1/2 Heisenberg susceptibility on b.c.c. lattice.at n=3A002168
- Numbers k such that (k^2 + k + 1)/19 is prime.at n=39A002643
- Hit polynomials, coefficient of y in N_n(y).at n=4A004308
- a(n) = 13*2^n.at n=7A005029
- Number of Twopins positions.at n=14A005684
- Expansion of a cusp form of weight 8 for Gamma_1(6).at n=6A006354
- Series for second perpendicular moment of square lattice (eventually changes sign).at n=8A006730
- Theta series of {D_6}* lattice.at n=15A008425
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=30A008665
- Spontaneous magnetization coefficients for square lattice spin 3/2 Ising model.at n=31A010105
- Number of 5's in all the partitions of n into distinct parts.at n=51A015740
- Number of partitions of n into distinct parts, none being 5.at n=47A015750
- Seven iterations of Reverse and Add are needed to reach a palindrome.at n=21A015986
- a(n) is the concatenation of n and 4n.at n=15A019552
- Index of 3^n within sequence of numbers of form 2^i*3^j (A003586).at n=45A022330
- a(n) = [ (2nd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=41A024531
- Position of numbers of form 3*n^2 in A025060 (numbers of form j*k + k*i + i*j, where 1 <=i < j < k).at n=20A025064
- Numbers that are the sum of 4 nonzero squares in exactly 1 way.at n=59A025357