Properties of the Number 11289

Eleven Thousand Two Hundred Eighty-Nine

Basics

Value: 11288 → 11289 → 11290

Parity: odd

Prime: No

Previous Prime: 11287

Next Prime: 11299

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 53 × 71

Divisors: 1, 3, 53, 71, 159, 213, 3763, 11289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000011001

Octal: 26031

Duodecimal: 6649

Hexadecimal: 2c19

Square: 127441521

Square Root: 106.24970588194586

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)*a(n-9) = a(n-1)*a(n-8)+a(n-4)+a(n-5) with initial terms a(1)=...=a(9)=1. A133847

G.f. A(x) satisfies: 1/(1 - x) = A(x)*A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307648

a(n) gives smallest number requiring n iterations of the map i -> A053392(i) to reach zero. A60630

Schroeder pseudoprimes: Composites k that divide the k-th Schroeder number A001003(k-1). A75764

Numbers n such that the product of digits of n equals the concatenation of π(d)'s where d runs through the digits of n. A97228

Number of nondecreasing sequences of 3 1..n integers with no element dividing the sequence sum. A212870

Numbers k such that 243·2^k+1 is prime. A32498

a(n) is the smallest integer such that A080383(a(n)) = n. A80393

Zeroless numbers for which the sum of the digits and the product of the digits are both Fibonacci numbers. A117725

Numbers k such that 5^k + 3^k - 1 is prime. A180741