8774
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13608
- Proper Divisor Sum (Aliquot Sum)
- 4834
- 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
- 4240
- Möbius Function
- -1
- Radical
- 8774
- 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
- 140
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=40A000092
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=42A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=41A000451
- Smallest number that is the sum of 3 squares in at least n ways.at n=42A000451
- Values of m in the discriminant D = -4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k=1..oo} Kronecker(D,k)/k.at n=22A003420
- a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.at n=42A025414
- Least sum of 3 distinct nonzero squares in exactly n ways.at n=40A025415
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026681.at n=5A026988
- Schoenheim bound L_1(n,n-4,n-5).at n=27A036830
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=20A045213
- Numbers n such that the area of the parallelogram formed by the vectors (n, prime(n)) and (n+1, prime(n+1)) is an integer square, i.e., Det[{{n, prime(n)},{n+1, prime(n+1)}}] is an integer square.at n=33A067805
- Least positive number having exactly n partitions into three squares.at n=42A095809
- {a(n)} is monotone increasing, with a(1)=1, a(2)=3 and, for n>2, a(n) is the smallest integer such that a(n) mod a(j) is never a(i) for any pair i,j with 1<=i<j<n.at n=44A100812
- Numbers n such that the sum of the digits of sigma(n)^phi(n) is divisible by n.at n=12A109669
- a(n) = n*(n^2 - 1)/2 - 1.at n=24A117560
- Least integer that can be written as a sum of 3 squares in n nontrivial ways (ignoring order and signs).at n=43A122699
- Smallest positive integer which can be expressed as the ordered sum of 3 squares in exactly n different ways.at n=43A124970
- a(n) = 225*n - 1.at n=38A158227
- Expansion of ( f(-q^2) * f(q^3) * f(-q^6) / f(q)^3 )^2 in powers of q where f() is a Ramanujan theta function.at n=8A164271
- Start with 3. If a, b in sequence, so is ab+1.at n=33A180432