Properties of the Number 2512

Two Thousand Five Hundred Twelve

Basics

Value: 2511 → 2512 → 2513

Parity: even

Prime: No

Previous Prime: 2503

Next Prime: 2521

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 157

Divisors: 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 100111010000

Octal: 4720

Duodecimal: 1554

Hexadecimal: 9d0

Square: 6310144

Square Root: 50.11985634456667

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A89473

Numbers n such that Bernoulli number B_n has denominator 510. A271634

Numbers whose binary indices and prime indices have the same sum. A372427

a(n) = 2ⁿ mod n². A66606

The number of permutations p of {1,...,n} such that |p(i)-p(i+1)| is in {1,2,3} for all i from 1 to n-1. A174700

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250676

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250691

Number of primes in the interval [prime(n), prime(n)²]. A54272

a(1)=1, a(2)=2, for n > 2 if a(n-1) is prime, then a(n) = 2·a(n-1), otherwise a(n) = a(n-1) - 1. A116533