1107
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1680
- Proper Divisor Sum (Aliquot Sum)
- 573
- 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
- 720
- Möbius Function
- 0
- Radical
- 123
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 137
- 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
- no
- Odd
- yes
Appears in sequences
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=54A001318
- Bending a piece of wire of length n+1 (configurations that can only be brought into coincidence by turning the figure over are counted as different).at n=7A001444
- Central trinomial coefficients: largest coefficient of (1 + x + x^2)^n.at n=8A002426
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=9A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=9A004965
- Number of symmetric, reduced unit interval schemes with n+1 intervals (n>=1).at n=16A005213
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=27A005449
- Coefficient of x^8 in expansion of (1+x+x^2)^n.at n=4A005716
- Coordination sequence T2 for Zeolite Code APC.at n=23A008033
- Coordination sequence T3 for Zeolite Code DAC.at n=21A008069
- Coordination sequence T1 for Zeolite Code MAZ.at n=23A008144
- Coordination sequence T1 for Zeolite Code ATO.at n=22A008265
- Expansion of (1 + 2*x^2 + x^3)/((1 - x)^2*(1 - x^3)).at n=40A008822
- Coordination sequence T2 for Zeolite Code RTH.at n=23A009894
- Expansion of Product_{k>=1} (1 - x^k)^15.at n=5A010822
- a(0) = 1, a(n+1) = 3 * a(n) - F(n)*(F(n) + 1), where F(n) = A000045(n) is n-th Fibonacci number.at n=7A011769
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=30A011904
- Odd numbers k such that phi(k) | sigma_3(k).at n=26A015809
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LTN = Linde Type N Na384[Al384Si384O1536].518H2O starting with a T2 atom.at n=4A019037
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite STI = Stilbite Na4Ca8[Al20Si52O144].56H2O starting with a T1 atom.at n=10A019241