Properties of the Number 6401

Six Thousand Four Hundred One

Basics

Value: 6400 → 6401 → 6402

Parity: odd

Prime: No

Previous Prime: 6397

Next Prime: 6421

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 37 × 173

Divisors: 1, 37, 173, 6401

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100000001

Octal: 14401

Duodecimal: 3855

Hexadecimal: 1901

Square: 40972801

Square Root: 80.00624975587844

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

a(n) = 4·n² + 1. A53755

Semiprimes of the form k²+1. A144255

a(n) = least k such that the remainder when 21^k is divided by k is n. A128361

Number T(n,k) of partitions of n into parts of exactly k sorts which are introduced in ascending order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A256130

Numbers whose arithmetic derivative (A003415) is a primorial number (A002110) > 1. A327978

a(n) = ∑_{k <= n/2} binomial(n-2k, 3k). A137356

Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime. A69833

Expansion of 1/(1 - x³/(1-x)⁵). A369804

a(n) = a(n-3) + a(n-5) with initial values 1,0,0,1,0. A52920

Number of regions in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357058