Properties of the Number 11047

Eleven Thousand Forty-Seven

Basics

Value: 11046 → 11047 → 11048

Parity: odd

Prime: Yes

Previous Prime: 11027

Next Prime: 11057

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 11047

Divisors: 1, 11047

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101100100111

Octal: 25447

Duodecimal: 6487

Hexadecimal: 2b27

Square: 122036209

Square Root: 105.10470969466591

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

Cyclops primes. A134809

T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal. A207208

Class 6+ primes. A81634

Numbers that can be written in exactly two different ways as s₁^x_1 + ... + s_t^x_t, with 1 < s₁ < ... < s_t and {s₁,..., s_t} = {x₁,..., x_t} for some t > 0. A386966

a(n) is the first term that can be reduced in n steps via repeated interpretation of a(n) as a base b+1 number where b is the largest digit of a(n), such that b is always 7 so that each interpretation is base 8. Terms already fully reduced (i.e., single digits) are excluded. A141841

Total number of 213 patterns in all heapable permutations of length n. A391697

Primes followed by a [10,2,10] prime difference pattern of A001223. A52376

Middle of 3 consecutive prime numbers such that p1·p2·p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (δ) = p2 - p1, d2 (δ) = p3 - p2. A153404

Numbers m such that (15m-4, 15m-2, 15m+2, 15m+4) is a prime quadruple. A112540

Numbers n with property that there is a different number m such that the lunar squares n·n and m·m are the same. A181319