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Properties of the Number 4068

Four Thousand Sixty-Eight

Basics

Value: 4067 → 4068 → 4069

Parity: even

Prime: No

Previous Prime: 4057

Next Prime: 4073

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 2 × 3 2 × 113

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111100100

Octal: 7744

Duodecimal: 2430

Hexadecimal: fe4

Square: 16548624

Square Root: 63.7808748764079

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

Number of compositions (ordered partitions) of n into squares. A6456
e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2·k. A54979
Coreful perfect numbers: numbers k such that csigma(k) = 2·k, where csigma(k) is the sum of the coreful divisors of k (A057723). A307958
Number of integer partitions of n that are constant or whose part multiplicities, except possibly the first and last, are all even. A349060
Non-deficient numbers with even σ which are not Zumkeller. A171641
Main diagonal of A277320: a(n) = A048720(n, A065621(n)). A277699
Numbers k such that k and k + 1 are both lazy-Lucas-Niven numbers (A351719). A351720
T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241397
Number of 3-element ordered antichains on an unlabeled n-element set; T1-hypergraphs with 3 labeled nodes and n hyperedges. A56005
Numbers that have exactly five prime factors counted with multiplicity (A014614) whose digit reversal is different and also has 5 prime factors (with multiplicity). A109025