Properties of the Number 4768

Four Thousand Seven Hundred Sixty-Eight

Basics

Value: 4767 → 4768 → 4769

Parity: even

Prime: No

Previous Prime: 4759

Next Prime: 4783

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 149

Divisors: 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001010100000

Octal: 11240

Duodecimal: 2914

Hexadecimal: 12a0

Square: 22733824

Square Root: 69.05070600652827

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 non-isomorphic spanning hyperforests of weight n. A304912

Product of the 5th power of a prime (A050997) and a different prime (p⁵*q). A178740

Number of ways to write n as an ordered sum of 8 nonzero triangular numbers. A340953

Number of positive solutions to (x₁)² + (x₂)² + (x₃)² + (x₄)² <= n². A341423

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,3,1,0,2 for x=0,1,2,3,4. A196904

Sum of the prime parts in the partitions of n into 4 parts. A309465

Expansion of e.g.f. ∏_k>=1 ((1 + x^k)/(1 - x^k))^σ(k/k). A318814

Increasing gaps among twin primes: size. A36063

Number of 1-2-3 trees with n edges and with thinning limbs. A124497

a(n) = 20·a(n-1) - 64·a(n-2) for n > 1; a(0) = 1, a(1) = 18. A166927