Properties of the Number 2752

Two Thousand Seven Hundred Fifty-Two

Basics

Value: 2751 → 2752 → 2753

Parity: even

Prime: No

Previous Prime: 2749

Next Prime: 2753

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 43

Divisors: 1, 2, 4, 8, 16, 32, 43, 64, 86, 172

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101011000000

Octal: 5300

Duodecimal: 1714

Hexadecimal: ac0

Square: 7573504

Square Root: 52.459508194416

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Schroeder's fourth problem; also series-reduced rooted trees with n labeled leaves; also number of total partitions of n. A311

Fourier coefficients of E_infinity,4. A7331

a(n) = (prime(n)² - 1)/24. A24702

a(n) = 2^n-1*(2ⁿ - (-1)ⁿ)/3. A3683

Number of partitions of n such that the number of parts and the greatest part are coprime. A200750

Number A(n,k) of partitions of the (n+k)-multiset {0,...,0,1,2,...,k} with n 0's; square array A(n,k), n>=0, k>=0, read by antidiagonals. A346426

Years in which there are five Fridays in the month of February. A141287

Number of integer compositions of n that are the first sums of a unique composition. A391644

Pentagonal numbers with odd index: a(n) = (2·n+1)*(3·n+1). A33570