7854
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 20736
- Proper Divisor Sum (Aliquot Sum)
- 12882
- 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
- 1920
- Möbius Function
- -1
- Radical
- 7854
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- 83
- 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
- a(n) = floor( n*(n-1)*(n-2)/5 ).at n=35A011887
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=41A013593
- Numbers whose sum of divisors is a fourth power.at n=16A019422
- Number of partitions of n into parts of 11 kinds.at n=5A023010
- a(n+1) = a(n) converted to base 6 from base 3 (written in base 10).at n=5A023369
- Areas of right triangles with coprime integer sides.at n=37A024365
- Ordered areas of primitive Pythagorean triangles.at n=39A024406
- a(n) = T(2n,n+1), where T is the array defined in A024996.at n=5A026077
- Multiplicity of highest weight (or singular) vectors associated with character chi_13 of Monster module.at n=40A034401
- Numbers whose base-4 representation contains exactly four 2's and two 3's.at n=26A045155
- Products of exactly 5 distinct primes.at n=15A046387
- Twice second pentagonal numbers.at n=51A049451
- Numbers that are divisible by exactly 5 different primes.at n=19A051270
- Expansion of (1-x-x^2)/(1-3x-x^2).at n=8A052991
- a(n) = a*b = x*y with (a-b) = (x+y) = A020882(n) (a>b, a>0, b>0, x>0, y>0), gcd(a, b) = gcd(x, y) = 1.at n=32A057229
- a(n) = binomial(2*n,n) mod ((n+1)*(n+2)*(n+3)).at n=31A065345
- Product of the largest prime divisors of composite numbers between successive primes.at n=10A076977
- Radius of inscribed circle within primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=27A089551
- Number of configurations of the 4 X 3 variant of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners.at n=14A090166
- Least area of primitive Pythagorean triangle whose legs differ by A058529(n).at n=13A094143