Properties of the Number 7112

Seven Thousand One Hundred Twelve

Basics

Value: 7111 → 7112 → 7113

Parity: even

Prime: No

Previous Prime: 7109

Next Prime: 7121

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 7 × 127

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 127, 254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101111001000

Octal: 15710

Duodecimal: 4148

Hexadecimal: 1bc8

Square: 50580544

Square Root: 84.33267456923205

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Triangle read by rows: T(n,k) = number of functions from [1,2,...,n] to [1,2,...,n] such that the image contains exactly k elements (0<=k<=n). A90657

Least integer b>2n+1 such that the numbers written as [1,3,...,2n-1,2n+1] and [2n+1,2n-1,...,3,1] in base b are both prime. A218465

Number of ways to write n as an ordered sum of 8 nonzero triangular numbers. A340953

Number of ways to cover (without overlapping) a ring lattice (necklace) of n sites with molecules that are 7 sites wide. A58366

Multiples of 7 in which there is no common digit in successive terms. A83495

Triangle read by rows: T(n,h) = number of functions f:{1,2,...,n}->{1,2,...,n} such that |Image(f)|=h; h=1,2,...,n, n=1,2,3,... . Essentially A090657, but without zeros. A101817

Maximum value of the cyclic convolution of first n primes with themselves. A299111

Composite numbers k such that digits in k and in juxtaposition of prime factors of k are the same (apart from multiplicity). A35141

Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant. A117345

Numbers m such that the GCD of the x's that satisfy σ(x) = m is 3. A241648