Properties of the Number 70669

Seventy Thousand Six Hundred Sixty-Nine

Basics

Value: 70668 → 70669 → 70670

Parity: odd

Prime: No

Previous Prime: 70667

Next Prime: 70687

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 17 × 4157

Divisors: 1, 17, 4157, 70669

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001010000001101

Octal: 212015

Duodecimal: 34A91

Hexadecimal: 1140d

Square: 4994107561

Square Root: 265.8364158650955

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+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 0,1 or 1,2. A264341

a(n) = 6·a(n-2) + a(n-4), where a(0) = 2, a(1) = 8, a(2) = 13, a(3) = 49. A228469

Numerators of continued fraction convergents to sqrt(10)/2 = sqrt(5/2) = A020797 + 1. A295333

Expansion of g.f. x*(1+x+2·x²+2·x³+5·x⁴+5·x⁵-3·x⁶+2·x⁷-x⁸-x⁹)/(1-6·x⁶-x¹²). A116559

Number of arrays of 4 integers in -n..n with sum zero and equal numbers of elements greater than zero and less than zero. A201812

Number of (n+4) X 10 0..2 matrices with each 5 X 5 subblock idempotent. A224623

a(n) = 6·a(n-2) + a(n-4), where a(0) = 5, a(1) = 8, a(2) = 30, a(3) = 49. A228472

Number of (n+1) X (4+1) arrays of permutations of 0..n·5+4 with each element having index change +-(.,.) 0,0 0,1 or 1,2. A264337

Number of (3+1) X (n+1) arrays of permutations of 0..n·4+3 with each element having index change +-(.,.) 0,0 0,1 or 1,2. A264343

T(n,k)=Number of (n+4)X(k+4) 0..2 matrices with each 5X5 subblock idempotent. A224625