Properties of the Number 6973

Six Thousand Nine Hundred Seventy-Three

Basics

Value: 6972 → 6973 → 6974

Parity: odd

Prime: No

Previous Prime: 6971

Next Prime: 6977

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 19 × 367

Divisors: 1, 19, 367, 6973

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111101

Octal: 15475

Duodecimal: 4051

Hexadecimal: 1b3d

Square: 48622729

Square Root: 83.50449089719666

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 - 10·n + 7. A54554

a(n) = a(n-1) + a(n - 1 - number of even terms so far). A6336

a(n) = p² + p + 1 where p runs through the primes. A60800

a(0)=0, a(1)=1, a(2)=1, a(3)=1, a(n) = a(n-3) + a(n-4) for n > 3. A79398

a(1) = 5; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A46255

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001. A260177

Number of integer partitions of n containing no part > 1 whose prime indices all belong to the partition. A324754

Sum of the divisors of the n-th odd square: a(n) = σ((2·n-1)²). A379223

Numbers that are sums of divisors of the odd squares; Intersection of A065764 and A065766, written in ascending order and duplicates removed. A65768

a(n) = 9·n² - 3·n + 1 with n>0. A304163