Properties of the Number 54401

Fifty-Four Thousand Four Hundred One

Basics

Value: 54400 → 54401 → 54402

Parity: odd

Prime: Yes

Previous Prime: 54377

Next Prime: 54403

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 54401

Divisors: 1, 54401

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010010000001

Octal: 152201

Duodecimal: 27595

Hexadecimal: d481

Square: 2959468801

Square Root: 233.2402195162747

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

G.f.: ∏_k>=1 1/(1-x^k)^3·k+2. A255803

Smallest lesser of twin primes (A001359) with index n, or a(n)=0, if there are no such twin primes. A242807

a(n) = 34·n² + 1. A158586

Primes of a056240-type 3. A300359

Row 4 of array in A047666. A47668

Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,4,6). A78949

Primes p such that p*(p-1) divides 3^p-1-1. A81763

Number of n X 4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,1,3,4 for x=0,1,2,3,4. A195974

Prime p such that p⁵ + p³ + p - 4 and p⁵ + p³ + p + 4 are primes. A243900

Expansion of e.g.f. exp( x/(1-3·x)^5/3 ). A382652