Properties of the Number 3723

Three Thousand Seven Hundred Twenty-Three

Basics

Value: 3722 → 3723 → 3724

Parity: odd

Prime: No

Previous Prime: 3719

Next Prime: 3727

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 73

Divisors: 1, 3, 17, 51, 73, 219, 1241, 3723

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010001011

Octal: 7213

Duodecimal: 21A3

Hexadecimal: e8b

Square: 13860729

Square Root: 61.0163912403872

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

Expansion of 1/((1-x)⁴*(1+x)). A2623

a(n) = n*(n+1)*(4·n+5)/6. A16061

Triangle read by rows: number of set partitions of n elements with k connectors, 0<=k<n. A185982

Minimal (positive) solution a(n) of Pell equation a(n)² - D(n)*b(n)² = +4 with D(n)= A077425(n). The companion sequence is b(n)=A078355(n). A77428

Numbers k such that k⁴ can be written as a sum of four positive 4th powers. A3294

Values of n such that n²-2 and n²+2 are both prime. A108701

Partial sums of A002620. A173196

T(n,k) = Number of n X k 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. A278280

a(1) = 4; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74341

3 times 11-gonal (or hendecagonal) numbers: a(n) = 3·n*(9·n-7)/2. A153783