Properties of the Number 12353

Twelve Thousand Three Hundred Fifty-Three

Basics

Value: 12352 → 12353 → 12354

Parity: odd

Prime: No

Previous Prime: 12347

Next Prime: 12373

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 11 × 1123

Divisors: 1, 11, 1123, 12353

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001000001

Octal: 30101

Duodecimal: 7195

Hexadecimal: 3041

Square: 152596609

Square Root: 111.14405067298924

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

Semiprimes in A056108. A113527

a(n) = 12·n² + 2·n + 1. A194454

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 219", based on the 5-celled von Neumann neighborhood. A286768

a(n) = ∑_k=0..n binomial(2·k, k) * p(k), where p(k) is the partition function A000041. A356269

Numerators of continued fraction convergents to sqrt(510). A41974

Numerators of the continued fraction convergents of log₁₀(11). A215760

G.f. A(x,y) satisfies: A(x,y) = x + A( x² + x·y*A(x,y)², y). A271868

G.f. A(x) = exp( ∑_n>=1 (n² - A384819(n))*xⁿ/n ) where A384819(k) < k for k >= 1 such that A(x) is a power series with integral coefficients. A384820

Number of nondecreasing arrangements of n numbers in -7..7 with sum zero and sum of squares less than n·56/3. A183933

Coinage sequence: a(n) = A018227(n)-7. A272000