Properties of the Number 47976

Forty-Seven Thousand Nine Hundred Seventy-Six

Basics

Value: 47975 → 47976 → 47977

Parity: even

Prime: No

Previous Prime: 47969

Next Prime: 47977

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 1999

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1999, 3998

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011101101101000

Octal: 135550

Duodecimal: 23920

Hexadecimal: bb68

Square: 2301696576

Square Root: 219.0342438980718

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) binary arrays with each element of every 2X2 subblock being the sum mod 2 of two others. A183845

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out left turns. A221551

Number of ways to write n as an ordered sum of 6 nonzero decimal palindromes. A341203

a(n) = 1728·n - 408. A157266

12 times the total number of smallest parts in all partitions of n, with a(0) = 0. A211609

Number of nX3 arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out left turns. A221549

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 177", based on the 5-celled von Neumann neighborhood. A270620

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 291", based on the 5-celled von Neumann neighborhood. A271131

t(n²) is a square and sets a new record for such squares, where t(n) = (σ(n)-n)*ω(n); or t(n)= A001065(n)*A001221(n). A63777

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, -1, 1), (0, 0, -1), (1, 1, 0)}. A149431