Properties of the Number 27572

Twenty-Seven Thousand Five Hundred Seventy-Two

Basics

Value: 27571 → 27572 → 27573

Parity: even

Prime: No

Previous Prime: 27551

Next Prime: 27581

Digit Sum: 23

Digital Root: 5

Palindrome: Yes

Factorization: 2 ² × 61 × 113

Divisors: 1, 2, 4, 61, 113, 122, 226, 244, 452, 6893

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101110110100

Octal: 65664

Duodecimal: 13B58

Hexadecimal: 6bb4

Square: 760215184

Square Root: 166.04818577750254

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: T(n,m) (n >= m >= 1) = number of chambers (or regions) formed by drawing the line segments connecting any two of the (n+1) X (m+1) lattice points in an n X m lattice polygon. A288187

Expansion of 1/sqrt(1 - 4·x/(1+x)³). A360133

Triangle read by rows: a(m,m) = 1, for all m. For n < m, a(m,n) = a(m-1,n) + (sum of all terms in rows 1 through m-1). A159924

Number of quadrilateral regions in a "frame" of size n X n (see Comments in A331776 for definition), divided by 8. A332596

Irregular triangle read by rows: T(n, k) is the number of chains of subspaces 0 < V₁ < ... < V_r = (F₂)ⁿ, counted up to coordinate permutation, with dimension increments given by (any fixed permutation of) the parts of the k-th partition of n in Abramowitz-Stegun order. A348113

Index of first occurrence of -n in A000319, or -1 if -n never appears there. A381231

Palindromes of form n² + (n+1)². A27572