Properties of the Number 35296

Thirty-Five Thousand Two Hundred Ninety-Six

Basics

Value: 35295 → 35296 → 35297

Parity: even

Prime: No

Previous Prime: 35291

Next Prime: 35311

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 1103

Divisors: 1, 2, 4, 8, 16, 32, 1103, 2206, 4412, 8824

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100111100000

Octal: 104740

Duodecimal: 18514

Hexadecimal: 89e0

Square: 1245807616

Square Root: 187.87229705307806

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally and vertically. A254894

Irregular triangular array, read by rows: row n shows the coefficients of the polynomial p(n,x) defined in Comments. A329429

Coefficients of polynomials (in descending powers of x) P(n,x) := 1 + P(n-1,x)², where P(1,x) = x + 1. A158985

Numbers k that divide Lucas(k) + 1. A94398

Half the difference between the larger and smaller term of the n-th amicable pair. A162884

Triangle of coefficients of polynomials v(n,x) jointly generated with A210862; see the Formula section. A210863

Half the difference between the larger and smaller terms of the n-th amicable pair (x,y) given in A259933. A275470

The second Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.2). A292345

Expansion of (1/x) * Series_Reversion( x*(1-x-x⁵)/(1-x) ). A366112

Lexicographically earliest sequence of distinct terms > 0 such that the sum a(n) + a(n+1) is a substring of the concatenation (a(n), a(n+1)). A359482