Properties of the Number 2772

Two Thousand Seven Hundred Seventy-Two

Basics

Value: 2771 → 2772 → 2773

Parity: even

Prime: No

Previous Prime: 2767

Next Prime: 2777

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 2 ² × 3 ² × 7 × 11

Divisors: 1, 2, 3, 4, 6, 7, 9, 11, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011010100

Octal: 5324

Duodecimal: 1730

Hexadecimal: ad4

Square: 7683984

Square Root: 52.64978632435273

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) = (2n+1)!/n!². A2457

Swinging factorial, a(n) = 2^{n-(n mod 2})*∏_k=1..n k^(-1^(k+1)). A56040

Triangle of denominators in Leibniz's Harmonic Triangle a(n,k), n >= 1, 1 <= k <= n. A3506

T(n,k) = binomial(n,k)*binomial(n+k,k), 0 <= k <= n, triangle read by rows. A63007

Second differences of partition numbers A000041. A53445

Numbers that are palindromic in bases 10 and 15. A29970

Array T(i,j) = binomial(-1/2-i,j)*(-4)^j, i,j >= 0 read by antidiagonals going down. A46521

e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2·k. A54979

Triangle read by rows: T(n,k) = C(n+k,n)*C(n,k)/(k+1), for n >= 0, k = 0..n. A88617

Numbers of the form 9·k² + 8·k, k an integer. A218864