Properties of the Number -1747

Seven Hundred Forty-Seven

Basics

Value: -1748 → -1747 → -1746

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 1747

Divisors: 1, 1747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11011010011

Octal: -3323

Duodecimal: -1017

Hexadecimal: -6d3

Square: 3052009

Square Root: 41.79712908801273

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

a(n) = 36·n² - 810·n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44. A117081

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 225", based on the 5-celled von Neumann neighborhood. A270945

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 459", based on the 5-celled von Neumann neighborhood. A272290

Balanced primes (of order one): primes which are the average of the previous prime and the following prime. A6562

Primes p such that the decimal expansion of its base-9 conversion is also prime. A65727

Number of representations of n as a sum of products of positive integers. 1 is not allowed as a factor, unless it is the only factor. Representations which differ only in the order of terms or factors are considered equivalent. A66739

Discriminants of imaginary quadratic fields with class number 5 (negated). A46002

Primes that become a different prime under the mapping 7 <=> 9. A180559

Number of partitions of n into at most 5 parts. A1401

Numbers k such that (16^k - 3^k)/13 is prime. A128030