Properties of the Number 8215

Eight Thousand Two Hundred Fifteen

Basics

Value: 8214 → 8215 → 8216

Parity: odd

Prime: No

Previous Prime: 8209

Next Prime: 8219

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 31 × 53

Divisors: 1, 5, 31, 53, 155, 265, 1643, 8215

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000010111

Octal: 20027

Duodecimal: 4907

Hexadecimal: 2017

Square: 67486225

Square Root: 90.63663718386732

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

Number of reversed integer partitions of 2n whose half-alternating sum is 0. A357639

Numbers k such that k² is palindromic in base 3. A29984

Number of connected cyclic conjugacy classes of subgroups of the symmetric group. A218970

a(n) = 6·n² + 1. A227776

Number of nonagons that can be formed with perimeter n. A288255

a(n) = ∑_{k=0..floor(n/2)} T(n-k,k), T given by A026747. A26757

Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of 1s) is a part. A241506

Largest coefficient in expansion of ∏_i=1..n (1 + (-q)ⁱ). A39828

a(n) = ∑_d∣n d·prime(d). A61150

Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part and the number of numbers having multiplicity > 1 is not a part. A241416