Properties of the Number 12523

Twelve Thousand Five Hundred Twenty-Three

Basics

Value: 12522 → 12523 → 12524

Parity: odd

Prime: No

Previous Prime: 12517

Next Prime: 12527

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 × 1789

Divisors: 1, 7, 1789, 12523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011101011

Octal: 30353

Duodecimal: 72B7

Hexadecimal: 30eb

Square: 156825529

Square Root: 111.90621073023605

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

Expansion of ∏_{i>=1, j>=0} (1 + x^{i·5^j}). A373219

Constant term of the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192967

Sum of digits of square is sum of square of digits. A165550

Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| + |y-w| >= w + x + y. A213489

Number of forests of rooted plane binary trees (all nodes have outdegree of 0 or 2) with n total nodes. A222006

Arises in the maximum number of C5's in a triangle-free graph. A185721

Least positive integer m such that m + n divides π(m)² + π(n)², where π(x) denotes the number of primes not exceeding x. A248044

Lower (1/2,1/3) midsequence of (n²) and (n³); see Comments. A389582

Sum of binary numbers with n 1's and two (non-leading) 0's. A59938

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 902", based on the 5-celled von Neumann neighborhood. A273760