Properties of the Number 13577

Thirteen Thousand Five Hundred Seventy-Seven

Basics

Value: 13576 → 13577 → 13578

Parity: odd

Prime: Yes

Previous Prime: 13567

Next Prime: 13591

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13577

Divisors: 1, 13577

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010100001001

Octal: 32411

Duodecimal: 7A35

Hexadecimal: 3509

Square: 184334929

Square Root: 116.52038448271615

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

Primes of the form k² + k + 5. A27755

Number of paths from (0,0) to the line x = n, each consisting of segments given by the vectors (1,1), (1,2), (1,-1), with vertices (i,k) satisfying 0 <= k <= 3. A247322

Number of nonisomorphic cyclic subgroups of the group S_n X S_n (where S_n is the symmetric group of degree n). A63183

Primes congruent to 7 mod 59. A142734

a(n) is the smallest prime in the interval [k·sqrt(k), k·sqrt(k+2)], where k = A001359(n), or a(n)=0 if there is no prime in this interval. A247867

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood. A282910

G.f.: ∑_k>=0 x^k² / ∏_j=1..k (1 - x^2·j-1)². A376581

Monotonic ordering of nonnegative differences 5ⁱ-2^j, for 40>=i>=0, j>=0. A192115

The maximal norm of an additively indecomposable element in Shanks' simplest cubic field Q[x]/(x³ - n·x² - (n+3)*x - 1). A387575

Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(3,5). A18917