Properties of the Number 30436

Thirty Thousand Four Hundred Thirty-Six

Basics

Value: 30435 → 30436 → 30437

Parity: even

Prime: No

Previous Prime: 30431

Next Prime: 30449

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 × 1087

Divisors: 1, 2, 4, 7, 14, 28, 1087, 2174, 4348, 7609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011011100100

Octal: 73344

Duodecimal: 15744

Hexadecimal: 76e4

Square: 926350096

Square Root: 174.4591642763429

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

Numbers n such that the decimal number concat(6,n) is a square. A273361

a(1) = 2; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1. A25003

Expansion of g.f. A(x) satisfying 1 - ∑_n>=1 ∏_k=1..n (x^2·k-1 - 3·A(x)) = ∏_k>=1 (1 - x^2·k) * (1 + x^k - 3·A(x))² / (1 + x^2·k - 3·A(x))². A370346

Triangle read by rows: T(n,k) = coefficient of x^k in the polynomial p[n,x] defined by p[0,x]=1, p[1,x]=1+x and p[n,x]=(1+x)(2-x)(3-x)...(n-x) for n >= 2 (0 <= k <= n). A123361

Number of (n+1)X(n+1) -11..11 symmetric matrices with every 2X2 subblock having sum zero and two or three distinct values. A211713

Expansion of g.f. (1 + x - 2·x² - x³)/(1 - 4·x² + 2·x⁴). A30436