Properties of the Number 40723

Forty Thousand Seven Hundred Twenty-Three

Basics

Value: 40722 → 40723 → 40724

Parity: odd

Prime: No

Previous Prime: 40709

Next Prime: 40739

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 193 × 211

Divisors: 1, 193, 211, 40723

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111100010011

Octal: 117423

Duodecimal: 1B697

Hexadecimal: 9f13

Square: 1658362729

Square Root: 201.79940535095736

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

Number of integer partitions of n such that the upper-left square of the Young diagram has strictly greater graph-distance from the lower-right boundary than any other square. A325187

Quasi-Carmichael numbers to exactly three bases. A257753

Least m such that φ(m) = n!. A55487

a(n) = (n³ - 2·n² + 3·n + 2)/2. A189890

Sequence of pairwise relatively prime numbers of class P₈ (see comment in A275246). A275253

Number of n X 2 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,3,4,1 for x=0,1,2,3,4. A196204

Numbers n such that n and n+4 are both brilliant numbers (A078972). A83285

Number of (n+2) X 4 0..1 matrices with each 3 X 3 subblock idempotent. A224553

Number of partitions p of n such that 2·min(p) + (number of parts of p) is not a part of p. A238542

a(n) is the number of unlabeled planar modular lattices on n nodes. A368461