Properties of the Number 10549

Ten Thousand Five Hundred Forty-Nine

Basics

Value: 10548 → 10549 → 10550

Parity: odd

Prime: No

Previous Prime: 10531

Next Prime: 10559

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 11 × 137

Divisors: 1, 7, 11, 77, 137, 959, 1507, 10549

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100110101

Octal: 24465

Duodecimal: 6131

Hexadecimal: 2935

Square: 111281401

Square Root: 102.70832488167646

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 (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001. A260544

a(n) is the smallest number·such that gcd(prime(x)+1,x+1) = n. A84316

G.f.: A(x,y) = exp( ∑_n>=1 [∑_k=0..n C(n,k)³*y^k] * xⁿ/n ) = ∑_n>=0,k=0..n T(n,k)*xⁿ*y^k, as a triangle of coefficients T(n,k) read by rows. A181143

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(4,1). A268527

Sum of the smallest parts in the partitions of n into 7 parts. A308927

Expansion of g.f. 1/(1 - 3·x + 2·x³). A77846

Upper Beatty array of the golden ratio, (1+sqrt(5))/2. A181661

Squarefree n such that the elliptic curve n·y² = x³ - x arising in the "congruent number" problem has rank 3. A62693

Number of partitions of n in which any two parts differ by at most 7. A218509

Numerators of asymptotic expansion of first root of Ziegler's cubic in an imaginary quadratic field. A115344