Properties of the Number 61830

Sixty-One Thousand Eight Hundred Thirty

Basics

Value: 61829 → 61830 → 61831

Parity: even

Prime: No

Previous Prime: 61819

Next Prime: 61837

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 × 229

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000110000110

Octal: 170606

Duodecimal: 2B946

Hexadecimal: f186

Square: 3822948900

Square Root: 248.6563894212252

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

Triangle read by rows: T(n,k) is the number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly k local maxima. A334778

G.f.: 1/∏_k>=1 (1-prime(k)*x^prime(k)). A2098

T(n,k)=Number of nXk nonnegative integer arrays with each row and column increasing from zero by 0, 1, 2 or 3. A202924

G.f. A(x) satisfies: 1 = ∑_n>=0 ((1+x)^5·n - A(x))ⁿ. A321605

E.g.f. A(x) satisfies A(x) = exp(-x·A(x)²) + x·A(x)³. A379877

Number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly 3 local maxima. A159717

a(n)=Sum( Product p_i, {Sum p_i=prime(n)}, p_i is prime ). A103275

Number of n X 3 nonnegative integer arrays with each row and column increasing from zero by 0, 1, 2 or 3. A202919

Multiples of 5 having only even digits. A61830