Properties of the Number 9971

Nine Thousand Nine Hundred Seventy-One

Basics

Value: 9970 → 9971 → 9972

Parity: odd

Prime: No

Previous Prime: 9967

Next Prime: 9973

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 13 ² × 59

Divisors: 1, 13, 59, 169, 767, 9971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011110011

Octal: 23363

Duodecimal: 592B

Hexadecimal: 26f3

Square: 99420841

Square Root: 99.8548947222919

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 times the digit 4 appears in the first 10ⁿ digits of π. A99295

a(n) = A051201(2ⁿ). A78161

Greatest 3-brilliant number of size n. A83182

Berend Jan van der Zwaag's conjectured complete list of numbers that start different "expanding periodic loops" under the mapping described in A053392 and A060630. A103117

a(n) = (n⁴ + 16·n³ + 65·n² + 26·n + 12)/12. A188480

Total number of parts of multiplicity 10 in all partitions of n. A222710

Expansion of ∑_k>=1 k²*x^k^2/(1 - x^k^2) * ∏_k>=1 1/(1 - x^k^2). A276559

Indices of primes followed by a gap (distance to next larger prime) of 42. A320719

Numbers of the form p² * q where p and q are primes with p < q < p². A355446

Powers of fifth root of 15 rounded up. A18158