Properties of the Number 4101

Four Thousand One Hundred One

Basics

Value: 4100 → 4101 → 4102

Parity: odd

Prime: No

Previous Prime: 4099

Next Prime: 4111

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 1367

Divisors: 1, 3, 1367, 4101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000000101

Octal: 10005

Duodecimal: 2459

Hexadecimal: 1005

Square: 16818201

Square Root: 64.03905058634146

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

Centered pentagonal numbers: (5n²+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net. A5891

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20. A50969

Numbers that are the sum of 6 positive 6th powers. A3362

Numbers that are the sum of 9 positive 10th powers. A4809

Numbers that are the sum of 7 positive 11th powers. A4818

Number of integers in n-th generation of tree T(1/2) defined in Comments. A274142

Records in A109812. A352203

Floor(X/Y) where X = concatenation of the (n+1)-st even number through the (2n)-th even number and Y = concatenation of first n even numbers. A67091

a(n) = 2ⁿ + 5. A168614

Odd positive integers a(n) such that for every integer m == 3 (mod 4) there exists a unique representation of the form m = a(l) + 2·a(s), but there are no such representations for m == 1 (mod 4). A145818