ℕ atory
Play Now

Properties of the Number 30387

Thirty Thousand Three Hundred Eighty-Seven

Basics

Value: 30386 → 30387 → 30388

Parity: odd

Prime: No

Previous Prime: 30367

Next Prime: 30389

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 1447

Divisors: 1, 3, 7, 21, 1447, 4341, 10129, 30387

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011010110011

Octal: 73263

Duodecimal: 15703

Hexadecimal: 76b3

Square: 923369769

Square Root: 174.3186736984882

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 nXk 0..1 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281837
Consider the e.g.f. S(x,y) = ∑n>=0 ∑k=0..n T(n,k) * x2·n-2·k+1 * y2·k / ((2·n-2·k+1)!*(2·k)!) and related functions C(x,y) and D(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=n) of S(x,y). A326800
Number of partitions of n such that the (sum of distinct odd parts) <= n/2. A284613
Central coefficients of triangle A326800. A326803
Number of n X 3 0..1 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281832
Number of n X 6 0..1 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281835
Consider the e.g.f. A(x,y) = ∑n>=0 ∑k=0..n T(n,k) * x2·n-2·k+1 * y2·k / (2·n+1)! and related functions B(x,y) and C(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=n) of A(x,y). A326797
Consider the e.g.f. C(x,y) = sqrt(1/2) * ∑n>=0 ∑k=0..2·n T(n,k) * x2·n-k * yk / ((2·n-k)!*k!) and related functions S(x,y) and D(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=2·n) of C(x,y). A326801
Consider the e.g.f. D(x,y) = sqrt(1/2) * ∑n>=0 ∑k=0..2·n T(n,k) * x2·n-k * yk / ((2·n-k)!*k!) and related functions S(x,y) and C(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=2·n) of D(x,y). A326802
Position of n-th 0 in A030386. A30387