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Properties of the Number 10242

Ten Thousand Two Hundred Forty-Two

Basics

Value: 10241 → 10242 → 10243

Parity: even

Prime: No

Previous Prime: 10223

Next Prime: 10243

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 2 × 569

Divisors: 1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100000000010

Octal: 24002

Duodecimal: 5B16

Hexadecimal: 2802

Square: 104898564

Square Root: 101.20276676059801

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 points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n2 + 2. Also coordination sequence for f.c.c. or A3 or D3 lattice. A5901
Numbers that are the sum of 12 positive 10th powers. A4812
Numbers that are the sum of 7 positive 11th powers. A4818
T(n,k)=Number of length n+2 0..k arrays with no consecutive three elements summing to more than k. A241619
Number of compositions of n with no part circularly followed by a divisor. A328598
a(0)=0, a(1)=1, for n>1, a(n) = n<*>n, where k<*>m = k<+>k<+>...<+>k is the m-1-fold iteration of the operation <+> defined in A206853. A206960
Triangle read by rows: T(n,k) is the number of oriented colorings of the facets of a regular n-dimensional orthotope using exactly k colors. Row n has 2n columns. A325008
Numbers k such that the cumulative sums of the k-th composition in graded reverse lexicographic order ("standard order", see A066099) do not cover all residue classes modulo p for any prime p; i.e., such that (0, x1, ..., x1+...+xj) is an admissible prime tuple pattern, where (x1, ..., xj) is the k-th composition. A387383
Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime. A73735
Numbers k such that k·k! + 1 is prime. A90703