Properties of the Number 2415

Two Thousand Four Hundred Fifteen

Basics

Value: 2414 → 2415 → 2416

Parity: odd

Prime: No

Previous Prime: 2411

Next Prime: 2417

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 23

Divisors: 1, 3, 5, 7, 15, 21, 23, 35, 69, 105

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101101111

Octal: 4557

Duodecimal: 1493

Hexadecimal: 96f

Square: 5832225

Square Root: 49.14264950122246

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

Hexagonal numbers: a(n) = n*(2·n-1). A384

Multiples of 15 containing a 15 in their decimal representation. A121035

Number of nonempty subsets of {1..n} whose geometric mean is an integer. A326027

Product of all primes p not dividing n such that the sum of the base-p digits of n is at least p, or 1 if no such prime exists. A324370

Square array read by antidiagonals: T(m,n) = number of spanning trees in an m X n grid. A116469

a(n) = (2·n+1)*(4·n+1). A14634

Squarefree numbers with a divisor having the same sum of prime indices as their quotient. A357854

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 1, read by rows. A157147

Staggered diagonal of triangular spiral in A051682. A81266

Expansion of Jacobi θ constant theta₂⁶ /(64q^3/2). A8440