ℕ atory
Play Now

Properties of the Number 2644

Two Thousand Six Hundred Forty-Four

Basics

Value: 2643 → 2644 → 2645

Parity: even

Prime: No

Previous Prime: 2633

Next Prime: 2647

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 2 × 661

Divisors: 1, 2, 4, 661, 1322, 2644

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101001010100

Octal: 5124

Duodecimal: 1644

Hexadecimal: a54

Square: 6990736

Square Root: 51.419840528729765

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

Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n. A6128
Triangle T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = x + 2. A256890
Number of strict integer partitions of n whose length (number of parts) is not equal to the sum of any subset. A367215
Number of cyclic arrangements of {0,1,...,n-1} such that both the difference and the sum of any two neighbors are prime. A242528
Number of compositions (ordered partitions) of n into square parts (A000290) such that no two adjacent parts are equal (Carlitz compositions). A301503
Smallest of 3 consecutive numbers each divisible by a square. A70258
T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3 or 5. A254827
T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241255
Numbers k such that lcm(1,2,3,...,k)/5 equals the denominator of the k-th harmonic number H(k). A112814
Numbers k such that φ(k) = φ(k+4), with Euler's totient function φ = A000010. A179186