Properties of the Number 10610

Ten Thousand Six Hundred Ten

Basics

Value: 10609 → 10610 → 10611

Parity: even

Prime: No

Previous Prime: 10607

Next Prime: 10613

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 1061

Divisors: 1, 2, 5, 10, 1061, 2122, 5305, 10610

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100101110010

Octal: 24562

Duodecimal: 6182

Hexadecimal: 2972

Square: 112572100

Square Root: 103.00485425454472

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

Smallest even k such that lpf(k-3) > lpf(k-1) >= prime(n), where lpf=least prime factor (A020639). A242719

a(n) = prime(n)² + 1. A66872

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A184095

Number of partitions of n where the difference between consecutive parts is at most 9. A238869

Product(1 + a(n)*xⁿ, n=1..infinity) = sum(F(k+1)*x^k, k=1..infinity) = 1/(1-x-x²), where F(n) = A000045(n) (Fibonacci numbers). A147542

Smallest even k such that lpf(k-1) = prime(n), while lpf(k-3) > prime(n), where lpf=least prime factor (A020639). A242489

Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the edge. A98498

Let p = n-th prime, take smallest solution (x,y) to the Pellian equation x² - p·y² = 1 with·and y >= 1; sequence gives value of x. A81233

The smallest numbers of every class in a classification of positive numbers (see comment). A247395

Number of almost base-2 palindromic primes (A095743) in range ]2ⁿ,2ⁿ⁺¹]. A95753