Properties of the Number 4947

Four Thousand Nine Hundred Forty-Seven

Basics

Value: 4946 → 4947 → 4948

Parity: odd

Prime: No

Previous Prime: 4943

Next Prime: 4951

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 97

Divisors: 1, 3, 17, 51, 97, 291, 1649, 4947

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101010011

Octal: 11523

Duodecimal: 2A43

Hexadecimal: 1353

Square: 24472809

Square Root: 70.33491309442275

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 integer partitions of n whose negated run-lengths are unimodal. A332638

a(n) = ∑_d∣3 φ(d)*n^3/d. A54602

a(n) = 2·n² + 11·n + 12. A71355

a(n) = 17·a(n-1) + a(n-2), with a(-1) = 0 and a(0) = 1. A178765

Total number of parts in all partitions of n into prime parts. A84993

Number of totally co-strong integer partitions of n. A332275

Denominators of continued fraction convergents to sqrt(293). A41551

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with nondecreasing average value. A200763

Odd interprimes divisible by 17. A124620

T(n,k) = Number of n X k 0..4 arrays with every row and column running average nondecreasing rightwards and downwards. A200858