Properties of the Number 6101

Six Thousand One Hundred One

Basics

Value: 6100 → 6101 → 6102

Parity: odd

Prime: Yes

Previous Prime: 6091

Next Prime: 6113

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 6101

Divisors: 1, 6101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011111010101

Octal: 13725

Duodecimal: 3645

Hexadecimal: 17d5

Square: 37222201

Square Root: 78.10889834071403

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

Numbers n such that n, 2n+1, and 4n+3 all prime. A7700

Primes with first digit 6. A45712

Expansion of 1/(1 - x³ - x⁴ + x⁷ - x¹⁰ - x¹¹ + x¹⁴) (a Salem polynomial). A143644

Primes p=prime(k) of level (1,2), i.e., such that A118534(k) = prime(k-2). A117876

Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p. A1583

Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms. A59762

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that σ(n) - n = ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1}) - ∑_j=1..i{d_j*10^j-1}} (see example below). A240894

Primes whose sum of digits is 8. A62343

Primes of form n² + 625. A256777

Number of integer partitions of n having no permutation with all equal run-lengths. A382915