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Properties of the Number 10072

Ten Thousand Seventy-Two

Basics

Value: 10071 → 10072 → 10073

Parity: even

Prime: No

Previous Prime: 10069

Next Prime: 10079

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 3 × 1259

Divisors: 1, 2, 4, 8, 1259, 2518, 5036, 10072

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011101011000

Octal: 23530

Duodecimal: 59B4

Hexadecimal: 2758

Square: 101445184

Square Root: 100.35935432235502

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

Triangle T, read by rows, equal to the matrix square of A118032 and also equal to a diagonal bisection of A118032; i.e., diagonal n of T equals diagonal 2n of A118032: T(n,k) = A118032(2n-k,k) for n>=k>=0. A118040
Maximal number of regions into which 4-space can be divided by n hyperspheres. A59173
Column 0 of triangle A118032, where column 0 of the matrix square of A118032 forms a bisection of this sequence. A118033
Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the edge. A98498
T(n,k)=Number of nXk 0..3 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order. A240706
Number of 3-cycles in range [A000302(n-1)..A024036(n)] of permutation A163355/A163356. A163914
T(n,k)=Number of nXk 0..3 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..3 introduced in row major order. A240642
Expansion of g.f. ∏k>=1 1/(1-x^σ(k)). A111865
Column 0 of triangle A118040, which is the matrix square of triangle A118032; also equals a bisection of A118033, which is column 0 of A118032. A118041
T(n,k)=Number of 2nX2k 0..3 arrays with values 0..3 introduced in row major order and each element equal to an even number of horizontal and vertical neighbors. A198485