Properties of the Number 54145

Fifty-Four Thousand One Hundred Forty-Five

Basics

Value: 54144 → 54145 → 54146

Parity: odd

Prime: No

Previous Prime: 54139

Next Prime: 54151

Digit Sum: 19

Digital Root: 1

Palindrome: Yes

Factorization: 5 × 7 ² × 13 × 17

Divisors: 1, 5, 7, 13, 17, 35, 49, 65, 85, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001110000001

Octal: 151601

Duodecimal: 27401

Hexadecimal: d381

Square: 2931681025

Square Root: 232.69078194032525

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) = n*(n+1)*(8·n + 1)/6. A132124

a(n) = floor(C(n,4)/5). A11795

a(0)=0, a(1)=1, a(n)=((2·n-1)*a(n-1)-5·n*a(n-2))/(n-1). A102840

Nonprime numbers k such that k divides 3^(k+1/2) - 2^(k+1/2) - 1. A130062

Numbers that have exactly 7 representations as a k-gonal number, P(m,k) = m*((k-2)*m - (k-4))/2, k and m >= 3. A321157

Composite palindromes divisible by the sum of their prime factors (counted with multiplicity). A46348

Occurrences of decrease of the probability density P(n) of coprime numbers k,m, satisfying 1 <= k <= a(n) and 1 <= m <= a(n), and a(n) congruent to 1 (mod 2) and a(n) not congruent to 3 (mod 6). A280879

a(n) = T(n) concatenated with reverse(T(n)) divided by 11, where T(n) is the n-th triangular number. A84008

Palindromes n such that n+(product of digits of n) gives a larger palindrome. A114341

Number of nondecreasing integer sequences of length 8 with sum zero and sum of absolute values 2n. A158142