Properties of the Number 6123

Six Thousand One Hundred Twenty-Three

Basics

Value: 6122 → 6123 → 6124

Parity: odd

Prime: No

Previous Prime: 6121

Next Prime: 6131

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 157

Divisors: 1, 3, 13, 39, 157, 471, 2041, 6123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111101011

Octal: 13753

Duodecimal: 3663

Hexadecimal: 17eb

Square: 37491129

Square Root: 78.24960063795854

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

a(n) = n*(4·n+1). A7742

Binomial transform of τ(n) (see A000005). A101509

Numbers m such that there are precisely 7 groups of order m. A249550

Sum of the quadratic residues of prime(n). A76409

Numbers k such that k² divides 16^k-1. A128396

T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically. A207024

Sum of the quadratic nonresidues of prime(n). A125615

a(n) = A289671(n)/2^f(n), where f(n) = 2·floor((n-1)/3) + ((n+2) mod 3) = A004523(n). A289677

Numbers of the form prime(n)*(prime(n)-1)/4. A171555

Triangular array read by rows: T(n,k) is the number of set partitions of {1,2,...,n} that have exactly k distinct block sizes. A208437