Properties of the Number 54864

Fifty-Four Thousand Eight Hundred Sixty-Four

Basics

Value: 54863 → 54864 → 54865

Parity: even

Prime: No

Previous Prime: 54851

Next Prime: 54869

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 127

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101011001010000

Octal: 153120

Duodecimal: 27900

Hexadecimal: d650

Square: 3010058496

Square Root: 234.23065555131762

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) = ∑_{d∣n, n/d=1 mod 4} d³ - ∑_{d∣n, n/d=3 mod 4} d³. A50471

Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k·n; sequence gives the (3,k)-perfect numbers. A19292

a(n) = A000203(n) * A024916(n). A143238

Number of (n+2) X 4 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals. A202441

Number of nX5 0..1 arrays with every element equal to 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300432

a(n) = n³ - 8. A259348

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})} + ∑_i=1..k-1{σ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A240902

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300435

Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236721

Numbers not divisible by any of their digits when written in base 8. A54864