7926
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15864
- Proper Divisor Sum (Aliquot Sum)
- 7938
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- -1
- Radical
- 7926
- 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
- 52
- 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(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=31A025005
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=43A027575
- 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 58.at n=33A031556
- a(n) = (1/2)*T(2n,n+1), where T is given by A048113.at n=9A048121
- Starting from generation 7 add previous and next term yielding generation 8.at n=17A048454
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the group sum divided by n for the n-th group.at n=37A074131
- Number of compositions of n such that every part occurs with the same multiplicity.at n=21A098504
- (1/2)*number of regular tetrahedra that can be formed using the points in an (n+1) X (n+1) X (n+1) lattice cube.at n=10A103158
- Number of Abelian Hv-groups of order n.at n=2A108089
- Diameters in miles of the planets in the solar system, starting with the closest to the sun.at n=2A118652
- Number of nondecreasing integer sequences of length 9 with sum zero and sum of absolute values 2n.at n=14A158143
- Coefficients of polynomials from matrix characteristic polynomials: m(n,m,d)=If[ m <= n, Mod[Binomial[n, m], 2], 0]; M(n)=m(n,m,d).Transpose[m(n,m,d)].Transpose[m(n,m,d)].m(n,m,d).at n=40A158202
- Sums of 3 consecutive semiprimes.at n=34A173968
- Sums of three consecutive numbers each of which is the product of two distinct primes and each of which has no exponent greater than one for either of its two prime factors.at n=32A173969
- G.f.: A(x) = ( Sum_{n>=0} (-4)^n * x^(n^2) )^(-1/2).at n=8A193235
- Number of days after Mar 01 00 such that the date written in the format DD.MM.YY is palindromic.at n=7A210887
- Smallest number m such that 3^m contains a string of n consecutive increasing integers in its decimal representation.at n=7A238507
- Number of partitions p of n such that (number of numbers in p that have multiplicity 1) = (number of numbers in p having multiplicity > 1).at n=41A241274
- Number of (n+1)X(4+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically.at n=8A253694
- a(n) = 6*7^n - 5*6^n.at n=4A257287