Properties of the Number 15416

Fifteen Thousand Four Hundred Sixteen

Basics

Value: 15415 → 15416 → 15417

Parity: even

Prime: No

Previous Prime: 15413

Next Prime: 15427

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 41 × 47

Divisors: 1, 2, 4, 8, 41, 47, 82, 94, 164, 188

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11110000111000

Octal: 36070

Duodecimal: 8B08

Hexadecimal: 3c38

Square: 237653056

Square Root: 124.16118556135005

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally and vertically. A258910

a(n) = prime(n) * ∑_i=1..n prime(i). A143215

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 470", based on the 5-celled von Neumann neighborhood. A282421

a(n) is the smallest integer k such that the n-th (backward) difference of the partition sequence A000041 is positive from k onwards. A155861

Numbers that are the concatenation of the digit-wise multiplication of k·m, with 1 < m < k, keeping the leading digits of k when m has fewer digits. A392040

Numbers n such that φ(n) = σ(n) - σ(n+1). A63943

Numbers k such that φ(k) divides σ(k+1) - σ(k). A72611

A014486-encoding of binary trees whose left and right subtree are identical. A83939

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally and vertically. A258904

a(n) = n * ∑_{k prime<=n} k. A301707