Properties of the Number 10545

Ten Thousand Five Hundred Forty-Five

Basics

Value: 10544 → 10545 → 10546

Parity: odd

Prime: No

Previous Prime: 10531

Next Prime: 10559

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 19 × 37

Divisors: 1, 3, 5, 15, 19, 37, 57, 95, 111, 185

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100110001

Octal: 24461

Duodecimal: 6129

Hexadecimal: 2931

Square: 111197025

Square Root: 102.68885041717041

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

Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c²+d²)/2)). A134602

a(n) = n*(n+1)*(n+8)/6. A6503

-3-Knödel numbers. A225507

Matrix 5th power of partition triangle A008284. A39807

Odd interprimes divisible by 19. A126231

E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)² - S(x,y)² = 1 and C(y,x) = 1 + Integral S(y,x)*C(x,y) dy, where S(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n+1-2·k*y^2·k/((2·n+1-2·k)!*(2·k)!), as a triangle of coefficients T(n,k) read by rows. A322220

Odd squarefree numbers n such that the cyclotomic polynomial φ(n,x) has height 5. A152943

15 times triangular numbers. A194715

Number of terms in n-th derivative of a function composed with itself 5 times. A22813

Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's. A49357