Properties of the Number 801

Eight Hundred One

Basics

Value: 800 → 801 → 802

Parity: odd

Prime: No

Previous Prime: 797

Next Prime: 809

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 89

Divisors: 1, 3, 9, 89, 267, 801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100001

Octal: 1441

Duodecimal: 569

Hexadecimal: 321

Square: 641601

Square Root: 28.30194339616981

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

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

a(n) = 2·n² + 1. A58331

Regular triangle read rows: T(n,k) = number of non-isomorphic multiset partitions of size n and length k. A317533

Spt function: total number of smallest parts (counted with multiplicity) in all partitions of n. A92269

Fifth spoke of a hexagonal spiral. A56109

Numbers whose sum of digits is 9. A52223

Numbers of the form 9·k² + 8·k, k an integer. A218864

Inverse binomial transform of primes. A7442

Partial sums of A001157: ∑_j=1..n sigma₂(j). A64602

Numbers that are the sum of 10 positive 6th powers. A3366