Properties of the Number 72662

Seventy-Two Thousand Six Hundred Sixty-Two

Basics

Value: 72661 → 72662 → 72663

Parity: even

Prime: No

Previous Prime: 72661

Next Prime: 72671

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 47 × 773

Divisors: 1, 2, 47, 94, 773, 1546, 36331, 72662

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101111010110

Octal: 215726

Duodecimal: 36072

Hexadecimal: 11bd6

Square: 5279766244

Square Root: 269.5588989441825

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 k such that k·3^k - 1 is prime. A6553

Sum of all the parts in the partitions of n into 9 squarefree parts. A326523

T(n,k)=Number of nXk 0..2 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it. A208445

Numbers n such that n² + 1 can be expressed as j² + k², j > k > 1, in more ways than for any smaller n. A300161

Numbers n such that n²+1 can be expressed as j²+k², j>k>1, gcd(j,k)=1, in more ways than for any smaller n. A300167

Irregular triangle read by rows. For each j, 1<=j<=n properly color the vertices of a labeled graph on [n] using each of the first j colors in the color set {c1<c2<...<cn}. Orient the edges according to the strict order on the colors. T(n,k) is the number of such directed graphs containing k descents, n>=0, 0<=k<=binomial(n,2). A381102

Number of n X 2 0..2 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it. A208439

Number of nX7 0..2 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it. A208444

Numbers k such that gpf(k²+1)/k sets a new record of low value, where gpf(k) is the greatest prime dividing k (A006530). A173561

Composition of the A059906 and A048679, i.e., a(n) = A059906(A048679(n)). A72662