Properties of the Number 12387

Twelve Thousand Three Hundred Eighty-Seven

Basics

Value: 12386 → 12387 → 12388

Parity: odd

Prime: No

Previous Prime: 12379

Next Prime: 12391

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 4129

Divisors: 1, 3, 4129, 12387

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000001100011

Octal: 30143

Duodecimal: 7203

Hexadecimal: 3063

Square: 153437769

Square Root: 111.29690022637648

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..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250898

Triangle, read by rows, where the g.f. of column k, C_k(x), is defined by the recurrence: C_k(x) = [ 1 + ∑_n>=k+1 C_n(x)*x^n-k ]^k+1 for k>=0. A127126

Sum of the third largest parts of the partitions of n into 10 parts. A326596

Odd numbers which are factored to the same set of primes in Z as to the irreducible polynomials in GF(2)[X]; odd terms of A235036. A235039

Number of (w,x,y,z) with all terms in {1,...,n} and w < (geometric mean of x,y,z). A212141

Indices of primes in sequence defined by A(0) = 61, A(n) = 10·A(n-1) + 21 for n > 0. A101525

Least number k such that the number of iterations of h(m) = (greatest prime divisor of m) - (least prime divisor of m) that map k to 0 is n; see Comments. A233510

Number of n X 3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241351

Number of (n+1) X (4+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250894

Number of (3+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250901