Properties of the Number 53067

Fifty-Three Thousand Sixty-Seven

Basics

Value: 53066 → 53067 → 53068

Parity: odd

Prime: No

Previous Prime: 53051

Next Prime: 53069

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ² × 19 ²

Divisors: 1, 3, 7, 19, 21, 49, 57, 133, 147, 361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100111101001011

Octal: 147513

Duodecimal: 26863

Hexadecimal: cf4b

Square: 2816106489

Square Root: 230.36275740666068

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

The maximal norm of an additively indecomposable element in Shanks' simplest cubic field Q[x]/(x³ - n·x² - (n+3)*x - 1). A387575

Triangle T(n, k) = A176013(n, k) + A176013(n, n-k+1), read by rows. A176022

Indices of primes in sequence defined by A(0) = 79, A(n) = 10·A(n-1) - 41 for n > 0. A101142

Numbers of the form 20·k+7 which are three times a square. A192328

Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241302

Odd numbers of the form (m·k)²/(m²-k²) for distinct integers m and k. A259288

Expansion of ∑_k>=0 x^k * ∏_j=1..k (1 + j·x^j). A306730

a(n) is the concatenation of next n numbers (omit leading 0's). A53067

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241306