Properties of the Number 70369

Seventy Thousand Three Hundred Sixty-Nine

Basics

Value: 70368 → 70369 → 70370

Parity: odd

Prime: No

Previous Prime: 70351

Next Prime: 70373

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 13 × 5413

Divisors: 1, 13, 5413, 70369

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001001011100001

Octal: 211341

Duodecimal: 34881

Hexadecimal: 112e1

Square: 4951796161

Square Root: 265.27155897306443

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

Expansion of ∏_m>=1 (1-m·q^m)²⁶. A22686

Number of n X 8 binary arrays with all 1's connected, a path of 1's from top row to bottom row, and no 1 having more than two 1's adjacent. A163720

Number of n X 4 binary arrays with all 1s connected, a path of 1s from left column to right column, and no 1 having more than two 1s adjacent. A163725

Number of binary strings of length n with equal numbers of 00010 and 01011 substrings. A164217

Zero together with the partial sums of A056640. A274772

A new general triangle sequence based on the Eulerian form in three parts ( subtraction):m=1; t0(n,k)=If[n·k == 0, 1, Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)ⁿ, {j, 0, k + 1}]] t(n,k,m)=If[n == 0, 1, ( m*(n - k) + 1)*t0(n - 1 + 1, k - 1) + (m·k + 1)*t0(n - 1 + 1, k) - m·k*(n - k)*t0(n - 2 + 1, k - 1)]. A157179

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected, a path of 1's from top row to bottom row, and no 1 having more than two 1's adjacent. A391822

a(n) = 5ⁿ mod 14. A70369

Number of (n+2) X 7 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order. A204639