Properties of the Number 21232

Twenty-One Thousand Two Hundred Thirty-Two

Basics

Value: 21231 → 21232 → 21233

Parity: even

Prime: No

Previous Prime: 21227

Next Prime: 21247

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 1327

Divisors: 1, 2, 4, 8, 16, 1327, 2654, 5308, 10616, 21232

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101001011110000

Octal: 51360

Duodecimal: 10354

Hexadecimal: 52f0

Square: 450797824

Square Root: 145.71204480069588

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

Sum of the sizes of the Durfee squares of all partitions of n. A115995

G.f. satisfies: A(x) = ∑_n>=0 xⁿ*[∑_k=0..n C(n,k)² *x^k* A(x)^2k]. A183876

Number of tilings of a 18 X n rectangle using 2n nonominoes of shape I. A250666

Number of tilings of a 27 X n rectangle using 3n nonominoes of shape I. A251078

Sum of the abscissae of the first descents of all bargraphs of semiperimeter n (n>=2). A273898

Number of nondecreasing arrangements of n numbers in -4..4 with sum zero and sum of squares less than n·20/3. A183930

Triangle of coefficients of Caylerian polynomials. A366173

Number of binary strings of length n having at least one run of length at least 4. A265725

Triangle version of the array of the number of closed paths of even length on the graph P_n (n vertices, n-1 edges). A198632

Total number of round trips, each of length 2·n on the graph P₃ (o-o-o). A198633