Properties of the Number 54585

Fifty-Four Thousand Five Hundred Eighty-Five

Basics

Value: 54584 → 54585 → 54586

Parity: odd

Prime: No

Previous Prime: 54583

Next Prime: 54601

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1213

Divisors: 1, 3, 5, 9, 15, 45, 1213, 3639, 6065, 10917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010100111001

Octal: 152471

Duodecimal: 27709

Hexadecimal: d539

Square: 2979522225

Square Root: 233.63432966925043

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

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316130

Numbers k with prime signature(k) = prime signature(k+1) = prime signature(k+2) = prime signature(k+3). A175590

Least of four consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2, k+3} are in A067259. A71320

Numbers k such that k, k+1, k+2 and k+3 are products of 4 primes. A124728

Positive numbers k such that -k, -(k + 1), -(k + 2), and -(k + 3) are 4 consecutive negative negabinary-Niven numbers (A331728). A331825

Numbers k such that σ(k) = ψ(k) + τ(k)³ + π(k). A390948

Triangle read by rows: T(n,k) (1 <= k <= n) given by T(n,1) = T(n,n) = 1, otherwise T(n,k) = (m·n-m·k+1)*T(n-1,k-1) + (m·k-m+1)*T(n-1,k), where m = -5. A392666

Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316125

Numbers k such that the binary reversal of k (A030101) is equal to the sum of the proper divisors of k (A001065). A329663

∑_d=1..n φ(d)*μ(d). A54585