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Properties of the Number 19783

Nineteen Thousand Seven Hundred Eighty-Three

Basics

Value: 19782 → 19783 → 19784

Parity: odd

Prime: No

Previous Prime: 19777

Next Prime: 19793

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 73 × 271

Divisors: 1, 73, 271, 19783

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110101000111

Octal: 46507

Duodecimal: B547

Hexadecimal: 4d47

Square: 391367089

Square Root: 140.65205295337853

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

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p. A282043
Number of maximal subsets of {1..n} containing n such that every ordered pair of distinct elements has a different difference. A325880
a(n) is the sum of quadratic nonresidues of A002145(n) (the n-th prime == 3 mod 4). A282036
Maxima of the rows of the triangle A259095. A5577
Number of sets of lists (cf. A000262) whose list sizes are not a multiple of 3. A113775
Triangle read by rows: T(n,k) = number of graphs with n nodes and k connected regular components. A275420
Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. ∏j > 0, j mod k > 0 exp(xj). A293525
Number of compositions of n into distinct parts such that the difference between adjacent parts is at least two. A328222
Number of 0..n arrays x(0..6) of 7 elements with nondecreasing average value and 0..n occur with instance counts within one of each other. A200946
Number of partitions of n into parts not of the form 19k, 19k+2 or 19k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 8 are greater than 1. A35971