Properties of the Number 97984

Ninety-Seven Thousand Nine Hundred Eighty-Four

Basics

Value: 97983 → 97984 → 97985

Parity: even

Prime: No

Previous Prime: 97973

Next Prime: 97987

Digit Sum: 37

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 1531

Divisors: 1, 2, 4, 8, 16, 32, 64, 1531, 3062, 6124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111011000000

Octal: 277300

Duodecimal: 48854

Hexadecimal: 17ec0

Square: 9600864256

Square Root: 313.0239607442216

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

Term at which first number of height n occurs in Recamán's sequence A005132. A64292

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁶ *∏_i=1..t (1-xⁱ) ). A59823

Number of length-5 0..n arrays with no repeated value differing from the previous repeated value by more than one. A269585

T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by more than one. A269583

Largest m such that p(m)< 10ⁿ, where p(m) is the partition function A000041(m). A97984