Properties of the Number 61290

Sixty-One Thousand Two Hundred Ninety

Basics

Value: 61289 → 61290 → 61291

Parity: even

Prime: No

Previous Prime: 61283

Next Prime: 61291

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 × 227

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1110111101101010

Octal: 167552

Duodecimal: 2B576

Hexadecimal: ef6a

Square: 3756464100

Square Root: 247.5681724293331

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

Number of integer partitions of n with no adjacent parts having quotient > 2. A342094

Expansion of ∏_k>=1 (1 - x^10·k)/(1 - x^k). A261776

The Wiener index of a chain of n squares joined at vertices (i.e., joined like <><><>...<>; here <> is a square!). A143943

Expansion of (∏_k>0 (1 - x^k) / (1 - x^5·k))⁵ in powers of x. A285932

G.f. A(x) satisfies: 1/(1 - x) = ∑_n>=1 (-1)^n-1 * A(x)^n². A354651

Number of -n..n arrays x(0..4) of 5 elements with zero sum and nonzero first and second differences. A200457

Subsequence of lesser of 2 terms of A095301 that are 2 apart. A248083

Numbers k such that σ(k) = ψ(k) + τ(k) + ω(k)⁷. A392385

Numbers k such that k⁴ = a⁴ + b⁴ + c⁴ + d⁴ has at least two positive primitive solutions. A331675

Square array read by antidiagonals of T(n,k) = T(n-1,k) + T(n-1, floor(k/2)) with T(0,0)=1. A61290