Properties of the Number 4971

Four Thousand Nine Hundred Seventy-One

Basics

Value: 4970 → 4971 → 4972

Parity: odd

Prime: No

Previous Prime: 4969

Next Prime: 4973

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 1657

Divisors: 1, 3, 1657, 4971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101101011

Octal: 11553

Duodecimal: 2A63

Hexadecimal: 136b

Square: 24710841

Square Root: 70.50531894828929

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

a(n) = 4·n² - 6·n + 3. A54569

Number T(n,k) of set partitions of [n] where k is minimal such that for each block b the smallest integer interval containing b has at most k elements; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A276727

Positions of 3's in A264977; positions of 6's in A277330. A277713

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,0 for x=0,1,2,3,4. A197217

Number of minimal dominating sets in the n-prism graph. A290336

Right-truncatable semiprimes. A85733

p²-p+1 central polygonal numbers with prime indices A002061(prime(n)). A119959

Magic sums of 3 X 3 semimagic squares composed of positive triangular numbers. A269060

a(n) is the index of the last occurrence of n in A316774. A316984

Composites of form n² + n + 1. A174969