Properties of the Number 4247

Four Thousand Two Hundred Forty-Seven

Basics

Value: 4246 → 4247 → 4248

Parity: odd

Prime: No

Previous Prime: 4243

Next Prime: 4253

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 31 × 137

Divisors: 1, 31, 137, 4247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1000010010111

Octal: 10227

Duodecimal: 255B

Hexadecimal: 1097

Square: 18037009

Square Root: 65.16901104052447

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 A299289. A299290

Number of integer partitions of n with more than one part of least multiplicity. A362609

Least k such that n^k mod k = (n-1)², or 0 if no such k exists. A128150

Number of partitions p of n such that (number of distinct parts of p) <= max(p) - min(p). A239955

a(n) = a(n-1) + a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 2. A50029

Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,... A62708

T(n,k)=Number of nXk array permutations with each element not moving, or moving one space N, SW or SE. A189435

a(1) = 10; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74346

G.f.: ∑_{n >= 1} xⁿ/(1-xⁿ)⁵. A73570

Triangle read by rows: T(n,k) is the number of partially labeled rooted trees with n vertices, k of which are labeled, 0 <= k <= n. A8295