Properties of the Number 10849

Ten Thousand Eight Hundred Forty-Nine

Basics

Value: 10848 → 10849 → 10850

Parity: odd

Prime: No

Previous Prime: 10847

Next Prime: 10853

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 19 × 571

Divisors: 1, 19, 571, 10849

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001100001

Octal: 25141

Duodecimal: 6341

Hexadecimal: 2a61

Square: 117700801

Square Root: 104.1585330157832

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

Positive integers k such that (k+1)⁴ has a divisor congruent to -1 modulo k. A350916

G.f.: ∏_n>=1 (1 + xⁿ + xⁿ⁺¹). A160571

a(0) = 1, a(1) = 3, and a(n) = 16·a(n-1) - a(n-2) - 4 for n >= 2. A350924

Triangle of coefficients of polynomials P(n; x) = Permanent(M), where M=[m(i,j)] is n X n matrix defined by m(i,j)=x if 0<=i-j<=2 else m(i,j)=1. A80061

Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3. A70192

a(n) = n*(15·n + 1)/2. A22273

a(n) = A139480(n)/2. A139481

Sum of the squares of the smaller parts of the partitions of 2n into two squarefree parts. A280320

Where records appear in A109734. A109740

Numbers k such that the k-th triangular number contains only digits {2,5,8}. A119169