Properties of the Number 10506

Ten Thousand Five Hundred Six

Basics

Value: 10505 → 10506 → 10507

Parity: even

Prime: No

Previous Prime: 10501

Next Prime: 10513

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 17 × 103

Divisors: 1, 2, 3, 6, 17, 34, 51, 102, 103, 206

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100001010

Octal: 24412

Duodecimal: 60B6

Hexadecimal: 290a

Square: 110376036

Square Root: 102.49878048055011

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

Product of a prime and the previous number. A36689

Hexagonal matchstick numbers: a(n) = 3·n*(3·n+1). A45945

a(1) = 1; a(n) = max{ 5·a(k) + a(n-k) | 1 <= k <= n/2 } for n > 1. A130667

Record (maximal) gaps between prime triples (p, p+2, p+6). A201598

Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 2. A128672

Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 6. A128676

a(n) = 25·n² + 25·n + 6. A177059

a(n) = product of numbers from prime(n)+1 up to prime(n+1), where prime(n) is the n-th prime. A72472

Number of partitions of n such that the absolute value of the difference between the number of odd parts and the number of even parts is <=1. A239835

a(n) = sum of the squares of the coefficients of xⁿ in x^n-2k*A(x²)^n-2k, as k varies from 0 to floor(n/2), with a(0)=1. A95892