Properties of the Number 19872

Nineteen Thousand Eight Hundred Seventy-Two

Basics

Value: 19871 → 19872 → 19873

Parity: even

Prime: No

Previous Prime: 19867

Next Prime: 19889

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 23

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110110100000

Octal: 46640

Duodecimal: B600

Hexadecimal: 4da0

Square: 394896384

Square Root: 140.96808149364875

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

Number of set partitions of {1..n} where every block has the same average. A326512

Number of unimodal compositions of n+2 where the maximal part appears exactly twice. A114921

Composite numbers k such that k - φ(k) divides σ(k) - k. A68418

Number of oriented colorings of the tetrahedral facets (or vertices) of a regular 4-dimensional simplex using n or fewer colors. A337895

The greedy sequence of real numbers at least 1 that do not contain any 3-term geometric progressions with integer ratio. A235054

Numbers k such that A344753(k) is a multiple of A048250(k), and k is a multiple of A344753(k)/A048250(k). A344755

Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative. A344700

Form a triangle with n numbers in top row; all other numbers are the sum of their parents. E.g.: 4 1 2 7; 5 3 9; 8 12; 20. The numbers must be positive and distinct and the final number is to be minimized. Sequence gives final number. A28307

Expansion of e.g.f.: exp(x)*sqrt(1-2x). A55142

Numbers with prime factorization pq^3r^5. A190011