Properties of the Number 4106

Four Thousand One Hundred Six

Basics

Value: 4105 → 4106 → 4107

Parity: even

Prime: No

Previous Prime: 4099

Next Prime: 4111

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 2053

Divisors: 1, 2, 2053, 4106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000000001010

Octal: 10012

Duodecimal: 2462

Hexadecimal: 100a

Square: 16859236

Square Root: 64.07807737440318

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers that are the sum of 12 positive 11th powers. A4823

a(n) = 3·n² - 1. A80663

a(n) = 2ⁿ⁺¹ + n - 1. A83706

Number of ways to split a strict integer partition of n into consecutive subsequences with equal sums. A318683

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250769

Numbers n such that n!9-1 is prime. A204659

T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum modulo 4 of elements to its left or elements above it. A238775

Number of periodic integer partitions of n whose multiplicities are aperiodic, meaning the multiplicities of these multiplicities are relatively prime. A319162

Numbers 1 through 10000 sorted lexicographically in octal representation (base 8). A190130

Numbers 1 through 10000 sorted lexicographically in hexadecimal representation (base 16). A190134