1431
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2160
- Proper Divisor Sum (Aliquot Sum)
- 729
- 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
- 936
- Möbius Function
- 0
- Radical
- 159
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 26
- 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
- Hexagonal numbers: a(n) = n*(2*n-1).at n=27A000384
- Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) with a(0)=0, a(1)=1, a(2)=0.at n=15A001590
- a(n+6) = -a(n+5) + a(n+4) + 3a(n+3) + a(n+2) - a(n+1) - a(n). a(n) = sign(n) if abs(n)<=3.at n=26A001945
- a(n) = 1000*log_10(n) rounded down.at n=26A004225
- a(n) = 1000*log_10(n) rounded to the nearest integer.at n=26A004226
- Binomial coefficient C(6n,n-7).at n=2A004362
- Primes written in base 5.at n=52A004679
- G.f.: Product_{k>=1} (1 + x^(2*k - 1)) / (1 - x^(2*k)).at n=32A006950
- McKay-Thompson series of class 6A for Monster.at n=4A007254
- Coordination sequence T1 for Zeolite Code BPH.at n=29A008055
- Coordination sequence T5 for Zeolite Code MFI.at n=24A008168
- Expansion of Jacobi theta constant theta_2^6 /(64q^(3/2)).at n=26A008440
- Expansion of (1+x^9)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=46A008770
- a(n) = 2*3^(2*n)-3^n.at n=3A010035
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly three 1's.at n=22A013650
- Odd triangular numbers.at n=26A014493
- a(n) = (2*n+1)*(4*n+1).at n=13A014634
- Numbers k such that sigma(k) = sigma(k+7).at n=7A015867
- Expansion of 1/((1-3x)(1-4x)(1-8x)).at n=3A016849
- Binomial coefficients C(n,52).at n=2A017716