Properties of the Number 72302

Seventy-Two Thousand Three Hundred Two

Basics

Value: 72301 → 72302 → 72303

Parity: even

Prime: No

Previous Prime: 72287

Next Prime: 72307

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 36151

Divisors: 1, 2, 36151, 72302

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101001101110

Octal: 215156

Duodecimal: 35A12

Hexadecimal: 11a6e

Square: 5227579204

Square Root: 268.89031220927245

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 distributive lattices; also number of paths with n turns when light is reflected from 7 glass plates. A25030

Taylor series related to one in Ramanujan's Lost Notebook. A6305

Expansion of (1 + 26·x + 109·x² + 109·x³ + 26·x⁴ + x⁵) / (1 - x)⁸. A244881

Number of weak up-down sequences of length n and values in {1,2,...,n}. A276313

Numbers k such that 5·10^k + 9 is prime. A103004

Number of partitions p of n such that max(p) - min(p) is not a part of p. A238494

Table read by ascending antidiagonals: T(n, m) giving total degree of n-th-order elementary symmetric polynomials in m variables. A50446

Table T(n,m) giving total degree of n-th-order elementary symmetric polynomials in m variables, -1 <= n, 1 <= m, transposed and read by upward antidiagonals. A50447

Number of well-nested drawings of a rooted tree. A113882

G.f. satisfies: A(x) = 1 + x·A(x) * A(x·A(x)) + x²*A(x)² * A'(x·A(x)). A132070