Properties of the Number 52124

Fifty-Two Thousand One Hundred Twenty-Four

Basics

Value: 52123 → 52124 → 52125

Parity: even

Prime: No

Previous Prime: 52121

Next Prime: 52127

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 83 × 157

Divisors: 1, 2, 4, 83, 157, 166, 314, 332, 628, 13031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100101110011100

Octal: 145634

Duodecimal: 261B8

Hexadecimal: cb9c

Square: 2716911376

Square Root: 228.30681111171432

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 the largest prime factor of k is equal to the sum of primes dividing k+1 (with repetition). A71861

Non-palindromic numbers such that the two largest proper divisors are palindromes having at least two digits and no other divisor is a palindrome with at least two digits. A74889

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two, three, four, six or seven distinct values for every i,j,k<=n. A211740

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 817", based on the 5-celled von Neumann neighborhood. A273648

Number of nX6 0..1 arrays with every element unequal to 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A305487

Number of n X 7 0..1 arrays with every element unequal to 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A305488

Expansion of e.g.f. exp(-2·x)/(1-x)³. A52124

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A305489

Starting from a(1)=7, each subsequent term is the minimal square obtained by inserting at least one digit into the previous term. A68616