Properties of the Number 2754

Two Thousand Seven Hundred Fifty-Four

Basics

Value: 2753 → 2754 → 2755

Parity: even

Prime: No

Previous Prime: 2753

Next Prime: 2767

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 17

Divisors: 1, 2, 3, 6, 9, 17, 18, 27, 34, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011000010

Octal: 5302

Duodecimal: 1716

Hexadecimal: ac2

Square: 7584516

Square Root: 52.478567053607705

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) = n*(n+1)²/2. A6002

Generalized Stirling numbers, [n+4,4]_3. A1711

Numbers k such that the geometric mean of φ(k) and σ(k) is an integer. A11257

Expansion of ∑_k>=0 x^k²+k/((1-x)(1-x²)...(1-x^2k)). A122134

Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] ∏_m=1..n (x - m - r), with r = 2. A49458

Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT(column 0 of T^(2·p-1/2)) = (2·p-1)*(column p of T), or [T^(2·p-1/2)](m,0) = (2·p-1)*T(p+m,p+1) for all m>=1 and p>=0. A105615

Numbers with 20 divisors. A30638

Product of the 4th power of a prime and 2 different distinct primes (p⁴*q·r). A179644

T(n,k) is the number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11. A254947

a(n) = c(2n-1), where c(n+2) = ∑_k=0..n binomial(n,k)c(k)c(n+1-k) with c(0)=0, c(1)=3. A289070