Properties of the Number 31409

Thirty-One Thousand Four Hundred Nine

Basics

Value: 31408 → 31409 → 31410

Parity: odd

Prime: No

Previous Prime: 31397

Next Prime: 31469

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 641

Divisors: 1, 7, 49, 641, 4487, 31409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101010110001

Octal: 75261

Duodecimal: 16215

Hexadecimal: 7ab1

Square: 986525281

Square Root: 177.22584461641028

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

Main diagonal of array in A358304, divided by 2. A358307

Numbers k such that 2·k+1, 3·k+2, 4·k+3 and 5·k+4 are primes. A138700

Expansion of 1/(1-x-x²-x⁶). A120400

Number of binary strings of length n with no substrings equal to 0000 or 0010. A164387

Positions of zeros in A345055, which is the Dirichlet inverse of A011772. A345053

Number of binary strings of length n with no substrings equal to 0000, 0011, or 1001. A164428

Expansion of 1/(1 -x -x² -x⁶ -x²⁴ - ... -x^k! - ... ). A217283

Number of non-equivalent (mod D₃) ways to choose three points in an n X n X n triangular grid so that they do not form a 2 X 2 X 2 subtriangle. A237530

Positions of zeros in A354875, which is the Dirichlet inverse of A344005. A354877

a(1)=1, a(n) is the smallest integer > a(n-1) such that the sum of elements of the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals n*(n+1)/2 the n-th triangular number. A71184