Properties of the Number 12785

Twelve Thousand Seven Hundred Eighty-Five

Basics

Value: 12784 → 12785 → 12786

Parity: odd

Prime: No

Previous Prime: 12781

Next Prime: 12791

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 2557

Divisors: 1, 5, 2557, 12785

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000111110001

Octal: 30761

Duodecimal: 7495

Hexadecimal: 31f1

Square: 163456225

Square Root: 113.07077429645558

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+1)X(k+1) 0..4 arrays with every 2X2 subblock summing to 8. A183652

a(n) = 104·n + 9977. A126978

Number of rooted twice-partitions of n where the composite rooted partition is strict. A301750

Squared length of diagonal of right trapezoid with three consecutive prime length sides. A360790

Numbers k such that the continued fraction for sqrt(k) has period 35. A20374

Number of (n+1) X 3 0..4 arrays with every 2 X 2 subblock summing to 8. A183645

Number of (n+1) X 5 0..4 arrays with every 2 X 2 subblock summing to 8. A183647

Number of partitions of n into parts not of the form 23k, 23k+7 or 23k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 10 are greater than 1. A35995

Triangle read by rows, T(n,k) = (-1)^k*{{n,k}} where {{n,k}} are the second-order Stirling set numbers, n>=0, 0<=k<=n/2. A137375

tan(sec(x)*arcsin(x))=x+6/3!*x³+140/5!*x⁵+7616/7!*x⁷+731856/9!*x⁹... A12785