Properties of the Number 29678

Twenty-Nine Thousand Six Hundred Seventy-Eight

Basics

Value: 29677 → 29678 → 29679

Parity: even

Prime: No

Previous Prime: 29671

Next Prime: 29683

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 × 11 × 19 × 71

Divisors: 1, 2, 11, 19, 22, 38, 71, 142, 209, 418

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001111101110

Octal: 71756

Duodecimal: 15212

Hexadecimal: 73ee

Square: 880783684

Square Root: 172.27303909782285

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

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally exactly one way. A204607

a(n) = (-2 - (-1)ⁿ*(-2 + n) + n + 2·n³)/4. A323723

Integers n such that 6n, 36n, and 216n fall between pairs of twin primes, that is, 6n-1, 6n+1, 36n-1, 36n+1, 216n-1, and 216n+1 are prime. A192851

a(n) is the sum of the preceding terms that are coprime to n. A82865

Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally exactly one way. A204600

Number of (n+2)X4 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally exactly one way. A204601

a(n) is the least k > n such that n divides k, and n+1 divides k+1, and n+2 divides k+2. A295388

θ series of quadratic form with Gram matrix [ 3, 1, -1; 1, 4, 1; -1, 1, 3 ]. A29678