Properties of the Number 4684

Four Thousand Six Hundred Eighty-Four

Basics

Value: 4683 → 4684 → 4685

Parity: even

Prime: No

Previous Prime: 4679

Next Prime: 4691

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 1171

Divisors: 1, 2, 4, 1171, 2342, 4684

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001001100

Octal: 11114

Duodecimal: 2864

Hexadecimal: 124c

Square: 21939856

Square Root: 68.43975452907469

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 leaf nodes in a binary tree. A112088

Expansion of ∏_m>=1 (1-m·q^m). A22661

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219595

E.g.f.: (1-3·exp(x)+exp(2·x))/(exp(x)-2). A52856

Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of 1s) is a part. A241506

The minimal number which has multiplicative persistence 6 in base n. A64870

Numbers that can be written in exactly two different ways as s₁^x_1 + ... + s_t^x_t, with 1 < s₁ < ... < s_t and {s₁,..., s_t} = {x₁,..., x_t} for some t > 0. A386966

Difference between the product of two consecutive primes and the next prime. A111071

Number of ON cells at n-th stage in simple 2-dimensional cellular automaton (see Comments lines for definition). A256534

Sum over all partitions of n of the bitwise AND of the parts. A306901