Properties of the Number 12761

Twelve Thousand Seven Hundred Sixty-One

Basics

Value: 12760 → 12761 → 12762

Parity: odd

Prime: No

Previous Prime: 12757

Next Prime: 12763

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 1823

Divisors: 1, 7, 1823, 12761

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111011001

Octal: 30731

Duodecimal: 7475

Hexadecimal: 31d9

Square: 162843121

Square Root: 112.96459622377269

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(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n² if n is odd. A136047

Number of ways of writing n as the sum of 7 triangular numbers. A226252

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293358

Number of positive integers <= 10ⁿ that are divisible by no prime exceeding 5. A106598

Floor of sums of the non-integer fourth roots of n, as partitioned by the integer roots: floor(∑_{j=n⁴+1..(n+1)⁴-1} j^1/4). A248698

a(n) = smallest m such that A031131(m) = 2·n. A261525

Sum along upward diagonal of Pascal triangle up to (but not including) center. A10753

Semiprime terms in A136047. A136048

a(n) = 343·n - 273. A157369

a(n) = F(n+1)*F(n+2) - F(n), where F = A000045 (Fibonacci numbers). A269803