7874
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
- 12288
- Proper Divisor Sum (Aliquot Sum)
- 4414
- 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
- 3780
- Möbius Function
- -1
- Radical
- 7874
- 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
- 127
- 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 continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 88.at n=9A031586
- a(n) = 2*n*(4*n + 3).at n=31A033587
- Numbers whose base-5 representation contains exactly three 2's and three 4's.at n=0A045292
- a(n) = Chowla's function of n * sigma(n).at n=63A062785
- Number of graphical partitions of simple Eulerian graphs (partitions given by the degrees of vertices of simple (no loops or multiple edges) graphs having only vertices of even degrees) having n edges.at n=43A069831
- Expansion of Product_{m>=1} (1 + m^2*q^m).at n=11A092484
- Even elements of A085493.at n=15A106431
- Numbers k such that the concatenation of k with k+2 gives a square.at n=0A115426
- a(n) = (1 + 3*n)*(4 + 3*n)/2.at n=41A145910
- a(n) = 225*n - 1.at n=34A158227
- Numbers n such that 2^n'-1 is prime, where n' is the arithmetic derivative of n.at n=14A189992
- Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8.at n=9A252008
- Numbers that are representable in at least two ways as sums of four distinct nonvanishing squares.at n=35A259058
- Expansion of Product_{k>=1} (1 - x^(6*k)) * (1 + x^(12*k-3)) * (1 + x^(12*k-9)) / ((1 - x^(4*k-2)) * (1 - x^(2*k))).at n=44A280948
- Even integers k such that phi(sum of even divisors of k) = sum of odd divisors of k.at n=12A281707
- Numbers k such that (56*10^k + 403)/9 is prime.at n=14A294483
- Numbers that are the sum of 4 nonzero 4th powers in more than one way.at n=16A309763
- Numbers m that divide 3^(m + 1) + 1.at n=12A328230
- Convert the primorial base expansion of n into its prime product form, then subtract the largest primorial which divides that product: a(n) = A276151(A276086(n)).at n=52A328476
- Numbers that are sums of consecutive dodecahedral numbers (A006566).at n=46A329599