Properties of the Number 2649

Two Thousand Six Hundred Forty-Nine

Basics

Value: 2648 → 2649 → 2650

Parity: odd

Prime: No

Previous Prime: 2647

Next Prime: 2657

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 883

Divisors: 1, 3, 883, 2649

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 101001011001

Octal: 5131

Duodecimal: 1649

Hexadecimal: a59

Square: 7017201

Square Root: 51.468436929831086

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

a(n) = n² + 3·n - 1. A14209

T(n,k) gives the number of permutations of the set [n] that contain k occurrences of the subword (132); irregular array read by rows (n >= 0 and 0 <= k <= max(0, floor((n-1)/2))). A197365

Total number of ON cells at stage n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 454". A246326

Poincaré series for invariant polynomial functions on the space of binary forms of degree 9. A293934

Numbers k such that lcm(1,2,3,...,k)/5 equals the denominator of the k-th harmonic number H(k). A112814

E.g.f.: A(x) = exp(x·exp(2·x*exp(2²*x·exp(...exp(2ⁿ*x·exp(...))...)))), for n>=0. A96538

Numbers n such that n²+n+41 (Euler's "prime generating polynomial") is not squarefree. A97823

Short leg A of primitive Pythagorean triangles such that perimeter s is average of twin prime pairs, q=p+1, A=q²-p², C=q²+p², B=2·p*q, s=A+B+C; s -/+ 1 are primes. A155173

Convolution triangle based on A001333(n), n >= 1. A54458

Starting with a(1)=2: if m is a term then also 4·m+1 and 4·m+2. A179888