Properties of the Number 54001

Fifty-Four Thousand One

Basics

Value: 54000 → 54001 → 54002

Parity: odd

Prime: Yes

Previous Prime: 53993

Next Prime: 54011

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 54001

Divisors: 1, 54001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001011110001

Octal: 151361

Duodecimal: 27301

Hexadecimal: d2f1

Square: 2916108001

Square Root: 232.38115241989829

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

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that σ(n) - n = ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1}) - ∑_j=1..i{d_j*10^j-1}} (see example below). A240894

a(n) = 2·n³ + 1. A33562

Numbers k with the property that k is a substring of its base-6 representation. A38106

For p = prime(n), a(n) is the smallest prime q such that pq is a base-2 pseudoprime; that is, 2^pq-1 = 1 mod pq; a(n) is 0 if no such prime exists. A85012

Numbers whose set of base 15 digits is {0,1}. A33051

Primes of the form 2k³+1. A201107

Largest prime factor of 2^2·n+1-2ⁿ⁺¹+1. A229767

Primes where the first digit equals the sum of all the other digits. A156307

a(n) = 60·n² + 1. A158673

Prime divisors of 2⁷²⁰ - 1. A291360