Properties of the Number 5672

Five Thousand Six Hundred Seventy-Two

Basics

Value: 5671 → 5672 → 5673

Parity: even

Prime: No

Previous Prime: 5669

Next Prime: 5683

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 709

Divisors: 1, 2, 4, 8, 709, 1418, 2836, 5672

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000101000

Octal: 13050

Duodecimal: 3348

Hexadecimal: 1628

Square: 32171584

Square Root: 75.31268153505093

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

Let A(0)=1, B(0)=0 and C(0)=0. Let B(n+1) = ∑_{k = 0..n} binomial(n,k)*A(k), C(n+1) = ∑_{k = 0..n} binomial(n,k)*B(k) and A(n+1) = ∑_{k = 0..n} binomial(n,k)*C(k). This entry gives the sequence A(n). A143815

Number of integer partitions of n into odd, relatively prime parts. A366843

G.f.: exp( ∑_n>=1 A322203(n)*xⁿ/n ), where A322203(n) is the coefficient of xⁿ*yⁿ/n in ∑_n>=1 -log(1 - (xⁿ + yⁿ)). A322204

a(n) = (9n² + 9n + 4)/2. A62123

Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of 1s) is a part. A241506

Number of 1's among the digits of all n-digit primes. A152273

a(n) = floor( tan(n)² ). A5657

Ratio from A049102. A49106

Even numbers n such that n² is an arithmetic number. A107924

Number A(n,k) of partitions of [k·n] into n sets of size k having no set of consecutive numbers whose maximum (if k>0) is a multiple of k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A370366