Properties of the Number 40677

Forty Thousand Six Hundred Seventy-Seven

Basics

Value: 40676 → 40677 → 40678

Parity: odd

Prime: No

Previous Prime: 40639

Next Prime: 40693

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 13 × 149

Divisors: 1, 3, 7, 13, 21, 39, 91, 149, 273, 447

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111011100101

Octal: 117345

Duodecimal: 1B659

Hexadecimal: 9ee5

Square: 1654618329

Square Root: 201.68539857907413

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

Numbers k such that 8·10^k - 49 is prime. A271269

Numbers k such that prime(k) + prime(k+1) + prime(k+2) is a square. A76305

Number of n-leaf binary trees that do not contain (()((((()())())())())) as a subtree. A159772

a(n,k) equals the number of semistandard Young tableaux with shape of a partition of n and maximal element <= k. A191714

Number of partitions p of n such that (maximal multiplicity of the parts of p) <= (number of distinct parts of p). A240306

a(n) has generating function 1/((1-x)^k*(1-x²)^k*(k-1/2)) for k=6. A181478

Number of semistandard Young tableaux over all partitions of 8 with maximal element <= n. A210430

Odd numbers k such that A292270((k-1)/2) is a square < ((k-1)/2)². A292379

a(n) = A077696(n+1)/A077696(n). A77697

Continued fraction for sqrt(704). A40677