Properties of the Number 97240

Ninety-Seven Thousand Two Hundred Forty

Basics

Value: 97239 → 97240 → 97241

Parity: even

Prime: No

Previous Prime: 97231

Next Prime: 97241

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5 × 11 × 13 × 17

Divisors: 1, 2, 4, 5, 8, 10, 11, 13, 17, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111101111011000

Octal: 275730

Duodecimal: 48334

Hexadecimal: 17bd8

Square: 9455617600

Square Root: 311.8332887938682

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 n-step walks on a line starting from the origin but not returning to it. A63886

Twice central binomial coefficients. A28329

A Catalan transform of (1 + 2·x)/(1 - 2·x). A100320

G.f. A(x,y) satisfies 1/x = ∑_n=-oo..+oo A(x,y)ⁿ * (A(x,y)ⁿ + y)ⁿ⁺¹, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows. A379200

a(n) = ∑_j=0..n A047072(j, n-j). A47073

a(1)=1; for n >= 1, a(n+1) = lcm(a(n),n) / gcd(a(n),n). A8339

Irregular triangle read by rows: T(n,m) = coefficients in a power/Fourier series expansion of an arbitrary anharmonic oscillator's exact phase space trajectory. A276738

Expansion of (1-4·x)^17/2. A20929

a(n) = number of n-lettered words in the alphabet {1, 2} with as many occurrences of the substring (consecutive subword) [1, 1] as of [2, 2]. A182027

a(n) = (n+3)*binomial(n+8, 8)/3. A53310