Properties of the Number 19851

Nineteen Thousand Eight Hundred Fifty-One

Basics

Value: 19850 → 19851 → 19852

Parity: odd

Prime: No

Previous Prime: 19843

Next Prime: 19853

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 509

Divisors: 1, 3, 13, 39, 509, 1527, 6617, 19851

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100110110001011

Octal: 46613

Duodecimal: B5A3

Hexadecimal: 4d8b

Square: 394062201

Square Root: 140.8935768585637

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 first k numbers in column k of the natural number array A000027; by antidiagonals. A185787

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236789

G.f. A(x) defined by: A(x)⁷ consists entirely of integer coefficients between 1 and 7 (A083947); A(x) is the unique power series solution with A(0)=1. A84207

63-gonal numbers: a(n) = n*(61·n - 59)/2. A98140

Number of (n+1)X(2+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236783

Number of (n+1)X(4+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236785

Number of (n+1) X (5+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253228

a(n) = binomial(n+3, 4) + binomial(n+1, 3) + 1. A368881

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 0, 0), (1, -1, -1), (1, 1, 0)}. A148540

Decimal expansion of sine of 42 degrees. A19851