Properties of the Number 9970

Nine Thousand Nine Hundred Seventy

Basics

Value: 9969 → 9970 → 9971

Parity: even

Prime: No

Previous Prime: 9967

Next Prime: 9973

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 997

Divisors: 1, 2, 5, 10, 997, 1994, 4985, 9970

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011011110010

Octal: 23362

Duodecimal: 592A

Hexadecimal: 26f2

Square: 99400900

Square Root: 99.84988733093293

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 8·3^k - 1 is prime. A5541

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240295

Triangle T(n,k) (0<= k <=n) read by rows. Left edge is 1, 0, 0, ... Otherwise each entry is sum of entry to left, entries immediately above it to left and right and entry directly above it 2 rows back. A59283

G.f.: A(x) = exp( ∑_n>=1 2ⁿ * xⁿ/(n*(1+xⁿ)) ). A165941

Natural numbers of the form p³ - q³, where p and q are primes. A86120

Numbers n such that φ(n) = φ(n+10), with Euler's totient function φ = A000010. A276503

Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way. A38853

Numbers k such that k and k² use only the digits 0, 1, 4, 7 and 9. A136865

Numbers k such that the period of Fibonacci numbers mod k is 3*(k+10). A229466

Number of ways of ordering integers 1 to n such that each number is either a factor of or larger than its predecessor. A263987