Properties of the Number 2947

Two Thousand Nine Hundred Forty-Seven

Basics

Value: 2946 → 2947 → 2948

Parity: odd

Prime: No

Previous Prime: 2939

Next Prime: 2953

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 421

Divisors: 1, 7, 421, 2947

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110000011

Octal: 5603

Duodecimal: 1857

Hexadecimal: b83

Square: 8684809

Square Root: 54.286278192559855

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

Partial sums of A299281. A299282

Indices of primes at which the prime race 4k-1 vs. 4k+1 is tied. A38691

Expansion of 1/(1 - x⁵ - x⁶ - x⁷ - x⁸ + x¹³). A173924

Powers of cube root of 20 rounded to nearest integer. A18034

Powers of cube root of 20 rounded down. A18033

E.g.f.: exp(2·x)/sqrt(1-2·x). A81367

a(n) = 70·n - 63. A139264

Sum of the sizes of the Durfee squares of all no-leg partitions of n (or of all no-arm partitions of n). A268188

Expansion of (1/(1 - x)²) * ∑_{p prime, k>=1} x^{p^k}/(1 - x^{p^k}). A303279

a(n) is the sum of all divisors of the first n odd numbers. A326123