Properties of the Number 14973

Fourteen Thousand Nine Hundred Seventy-Three

Basics

Value: 14972 → 14973 → 14974

Parity: odd

Prime: No

Previous Prime: 14969

Next Prime: 14983

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 23 × 31

Divisors: 1, 3, 7, 21, 23, 31, 69, 93, 161, 217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101001111101

Octal: 35175

Duodecimal: 87B9

Hexadecimal: 3a7d

Square: 224190729

Square Root: 122.36421045387414

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..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,0,3,1,2 for x=0,1,2,3,4. A196337

a(1)=10; if n = Product p_i^e_i, n > 1, then a(n) = Product p_i+1^e_i·Product p_i+3^e_i. A45973

a(n) = n * ∑_d∣n binomial(d+3,4)/d. A343545

a(n) = (1/24)*n*(n + 5)*(n² + n + 6). A51743

Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments. A208182

Numbers which are the product of two S-primes (A057948) in exactly three ways. A343828

a(n) = n*(17·n - 1)/2. A22274

Products p·q*r·s of distinct primes for which (p·q*r·s + 1)/2 is prime. A234501

Number of divisors of n equals the average of distinct prime factors of n. A67547

a(n) = n * [1 + sum(k=1 to n) prime(k)]. A83725