Properties of the Number 16525

Sixteen Thousand Five Hundred Twenty-Five

Basics

Value: 16524 → 16525 → 16526

Parity: odd

Prime: No

Previous Prime: 16519

Next Prime: 16529

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 661

Divisors: 1, 5, 25, 661, 3305, 16525

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000010001101

Octal: 40215

Duodecimal: 9691

Hexadecimal: 408d

Square: 273075625

Square Root: 128.5496013218244

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

a(n) = ∑_k=1..n binomial(floor(n/k)+4,5). A365439

Diagonal in array of n-gonal numbers A081422. A81438

Number of integer partitions of n whose semi-sums cover an interval of positive integers. A367402

a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k. A24847

Composite numbers k such that binomial(5·k, k) == 5^k (mod k). A109760

Numerators of continued fraction convergents to sqrt(715). A42376

Records in A118878. A119903

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 285) or the same sequence for the mesh patterns (12, 339), (12, 369), (12, 405). A289609

Numbers k such that the continued fraction for sqrt(k) has period 41. A20380

Index of first occurrence of n in A165633. A165765