Properties of the Number 30545

Thirty Thousand Five Hundred Forty-Five

Basics

Value: 30544 → 30545 → 30546

Parity: odd

Prime: No

Previous Prime: 30539

Next Prime: 30553

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 41 × 149

Divisors: 1, 5, 41, 149, 205, 745, 6109, 30545

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011101010001

Octal: 73521

Duodecimal: 15815

Hexadecimal: 7751

Square: 932997025

Square Root: 174.77127910500627

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

a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 5. A214827

Let F(x) = 1 + x + 4x² + 10x³ + ... = g.f. for A000293 (solid partitions) and expand (1-x)(1-x²)(1-x³)...*F(x) in powers of x. A2836

Triangle T(n,k) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using only steps R = (1,0), V = (0,1) and D = (3,1). A71946

a(n) = ∑_k=1..n τ(gcd(k,n)^gcd(k,n)), where τ(n) is the number of divisors of n. A344224

Triangle in A071946 with rows reversed. A108076

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11. A31599

Numbers k such that 5·10^k + 2·R_k + 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A103010

Number of length 4+1 0..n arrays with the sum of the cubes of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250231

Sum of Gaussian binomial coefficients [n,k] for q=2 and k=0..n. A6116

Remainder-numerators from Egyptian fraction expansion of 6/104651 using odd greedy algorithm. A30545