Properties of the Number 55300

Fifty-Five Thousand Three Hundred

Basics

Value: 55299 → 55300 → 55301

Parity: even

Prime: No

Previous Prime: 55291

Next Prime: 55313

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 ² × 7 × 79

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100000000100

Octal: 154004

Duodecimal: 28004

Hexadecimal: d804

Square: 3058090000

Square Root: 235.15952032609695

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

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (3,4,4,...) and super- and subdiagonals (1,1,1,...). A124574

Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n; then a(n) is the trace of M(n)^-7. A114359

a(n) = 4·n³ + 4. A100214

Numbers k such that k and k² use only the digits 0, 3, 5, 8 and 9. A136941

Number of zeros in the period of Fibonacci 5-step sequence A001591 mod n. A193994

Matrix inverse of triangle A055290(n+1,k). A55300

Indices of primes in sequence defined by A(0) = 37, A(n) = 10·A(n-1) - 3 for n > 0. A101840

Square array T(n,k) = kⁿ - ∑_{0 < i < k} e(i)*(k-i)ⁿ where e(i) = 1 if the partial sum up to this term would remain <= kⁿ, or 0 else; n, k >= 1; read by falling antidiagonals. A332099