Properties of the Number 55034

Fifty-Five Thousand Thirty-Four

Basics

Value: 55033 → 55034 → 55035

Parity: even

Prime: No

Previous Prime: 55021

Next Prime: 55049

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 3931

Divisors: 1, 2, 7, 14, 3931, 7862, 27517, 55034

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101011011111010

Octal: 153372

Duodecimal: 27A22

Hexadecimal: d6fa

Square: 3028741156

Square Root: 234.59326503546515

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 nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A240046

T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal, vertical and antidiagonal neighbors in a random 0..1 nXk array. A220279

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={0}. A80012

Number of 5 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A240050

Consider 3 X 3 X 3 Rubik cube, but only allow the squares group to act; sequence gives number of positions that are exactly n moves from the start. A80627

Equals two maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal, vertical and antidiagonal neighbors in a random 0..1 nX3 array. A220276

Number of n X 6 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A240045

a(1) = 1, a(n) = φ(2·n)/2 for n > 1. A55034