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Properties of the Number 10761

Ten Thousand Seven Hundred Sixty-One

Basics

Value: 10760 → 10761 → 10762

Parity: odd

Prime: No

Previous Prime: 10753

Next Prime: 10771

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 211

Divisors: 1, 3, 17, 51, 211, 633, 3587, 10761

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101000001001

Octal: 25011

Duodecimal: 6289

Hexadecimal: 2a09

Square: 115799121

Square Root: 103.73523991392703

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

Sum of quadratic residues of (n-th prime == 3 mod 4). A282035
Sum of the quadratic residues of prime(n). A76409
a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2p+1 and p is the unique integer such that 2p < n - 1 <= 2p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 4. A50052
a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2p+1 and 2p < n - 1 <= 2p+1, starting with a(1) = a(2) = 1 and a(3) = 4. A50036
a(n) = a(n-1) + a(m) for n >= 3, where m = 2·n - 3 - 2p+1 and p is the unique integer such that 2p < n - 1 <= 2p+1, starting with a(1) = 1 and a(2) = 3. A50068
Sum of all terms on the two principal diagonals of a 2n+1 X 2n+1 square spiral. A114254
T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and every value within 3 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252828
The sum of the principal diagonals of an n X n spiral. A137930
Number of primes of the form x4 + 1 less than 10n. A214452
Number of partitions of 5n such that cn(0,5) <= cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5). A36883