1786
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 1094
- 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
- 828
- Möbius Function
- -1
- Radical
- 1786
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=44A002311
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=44A002382
- Numbers that are the sum of 6 positive 5th powers.at n=44A003351
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=38A004963
- Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.at n=34A005448
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=25A005598
- Coordination sequence T1 for Zeolite Code ATV.at n=27A008043
- Coordination sequence T3 for Zeolite Code BOG.at n=30A008051
- Coordination sequence T5 for Zeolite Code MEL.at n=27A008154
- Coordination sequence T6 for Zeolite Code MEL.at n=27A008155
- Expansion of (1+x^10)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=50A008771
- Expansion of (1 + 2*x^2 + x^3)/((1 - x)^2*(1 - x^3)).at n=51A008822
- If a, b in sequence, so is ab+6.at n=22A009307
- a(n) = floor( n*(n-1)*(n-2)/11 ).at n=28A011893
- Numbers k such that sigma(k) = sigma(k+12).at n=18A015882
- Expansion of 1/((1-x)*(1-2x)*(1-11x)).at n=3A016206
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10).at n=46A017850
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=12A020381
- Largest value of k for which Golay-Rudin-Shapiro sequence A020986(k) = n.at n=44A020991
- Fibonacci sequence beginning 4, 30.at n=10A022387