Properties of the Number 413

Four Hundred Thirteen

Basics

Value: 412 → 413 → 414

Parity: odd

Prime: No

Previous Prime: 409

Next Prime: 419

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 7 × 59

Divisors: 1, 7, 59, 413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011101

Octal: 635

Duodecimal: 2A5

Hexadecimal: 19d

Square: 170569

Square Root: 20.322401432901575

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 partitions of n into prime parts. A607

Rao Uppuluri-Carpenter numbers (or complementary Bell numbers): e.g.f. = exp(1 - exp(x)). A587

Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m). A3052

Number of partitions of n in which the sequence of frequencies of the summands is nondecreasing. A100883

Number of integer partitions of n such that it is possible to choose a different prime factor of each part. A370592

Partial sums of A299279. A299280

Number of partitions of n in which the least part is odd. A26804

Number of partitions of n with distinct parts p(i) such that if i ≠ j, then |p(i) - p(j)| >= 3. A25157

a(n) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6. A5709

Nonprime numbers k such that binomial(k+p,k) mod k = 1, where p=6. A133636