Properties of the Number 4648

Four Thousand Six Hundred Forty-Eight

Basics

Value: 4647 → 4648 → 4649

Parity: even

Prime: No

Previous Prime: 4643

Next Prime: 4649

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 7 × 83

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 83, 166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000101000

Octal: 11050

Duodecimal: 2834

Hexadecimal: 1228

Square: 21603904

Square Root: 68.17624219623724

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

Q-toothpick sequence (see Comments for precise definition). A187210

Four times pentagonal numbers: a(n) = 2·n*(3·n-1). A33579

Dispersion of A047204, (numbers >1 and congruent to 3 or 4 mod 5), by antidiagonals. A191731

Otto Haxel's guess for magic numbers of nuclear shells. A33547

Number A(n,k) of multisets of nonempty words with a total of n letters over k-ary alphabet; square array A(n,k), n>=0, k>=0, read by antidiagonals. A144074

Orthogonal polynomials with all zeros integers from 2·A000217. A129467

G.f.: ∑_n>=0 n! * xⁿ * (1+x)ⁿ / ∏_k=1..n (1 + k·x). A229046

a(n) = binomial(2·n,n) mod ((n+1)*(n+2)). A65344

Positions of 16 after decimal point in decimal expansion of π. A134216

Least positive integer k such that prime(k·n) - 1 = (prime(i·n)-1)*(prime(j·n)-1) for some integers 0 < i < j < k. A257938