Properties of the Number 9972

Nine Thousand Nine Hundred Seventy-Two

Basics

Value: 9971 → 9972 → 9973

Parity: even

Prime: No

Previous Prime: 9967

Next Prime: 9973

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 277

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 277

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011110100

Octal: 23364

Duodecimal: 5930

Hexadecimal: 26f4

Square: 99440784

Square Root: 99.85990186255943

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

Numbers k such that k⁵¹² + 1 is prime. A57465

Numbers without comma-successors: these are the numbers k such that if the commas sequence A121805 is started at k instead of 1, there is no second term. A367341

Numbers n such that m + (sum of digits in base-3 representation of m) = n has exactly four solutions. A230856

McKay-Thompson series of class 36D for the Monster simple group. A58647

McKay-Thompson series of class 18C for the Monster group with a(0) = -3. A123676

Expansion of χ(-q³) / χ³(-q) in powers of q where χ() is a Ramanujan θ function. A128128

Expansion of χ(q)³ / χ(q³) in powers of q where χ() is a Ramanujan θ function. A132972

McKay-Thompson series of class 18C for the Monster group with a(0) = -2. A215412

Expansion of (ψ(-q) / f(q³))² in powers of q where ψ(), f() are Ramanujan θ functions. A262930

McKay-Thompson series of class 36A for Monster. A58644