Properties of the Number 31853

Thirty-One Thousand Eight Hundred Fifty-Three

Basics

Value: 31852 → 31853 → 31854

Parity: odd

Prime: No

Previous Prime: 31849

Next Prime: 31859

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 53 × 601

Divisors: 1, 53, 601, 31853

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111110001101101

Octal: 76155

Duodecimal: 16525

Hexadecimal: 7c6d

Square: 1014613609

Square Root: 178.4740877550576

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 T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=2, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the six-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees). A79222

G.f. A(x) satisfies: 1 = ∑_n>=0 ( 1/(1-x)ⁿ - A(x) )ⁿ. A304639

a(0) = 2, a(1) = 3; for n>1, a(n) = a(n-2)² + a(n-1)². A113494

Nodes of tree generated as follows: (1,2) is an edge, and if (x,y) is an edge, then (y, y² - x²) and (y, y² + x²) are edges. A228940

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 27. A31615

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 13. A51978

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 85 ones. A31853

Number of length n+2 0..10 arrays with no consecutive three elements summing to more than 10. A241616