Properties of the Number 3456

Three Thousand Four Hundred Fifty-Six

Basics

Value: 3455 → 3456 → 3457

Parity: even

Prime: No

Previous Prime: 3449

Next Prime: 3457

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ³

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: 110110000000

Octal: 6600

Duodecimal: 2000

Hexadecimal: d80

Square: 11943936

Square Root: 58.787753826796276

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

3-smooth numbers: numbers of the form 2ⁱ*3^j with i, j >= 0. A3586

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

Numbers k of the form 2ⁱ*3^j, where i and j >= 1. A33845

a(n) = period of the sequence {b(m), m>=0}, defined by b(m):=binomial(m+n,n) mod n. A133900

Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power. A52486

a(n) = 6·n². A33581

Jordan-Polya numbers: products of factorial numbers A000142. A1013

Numbers k such that φ(k) divides k. A7694

Numbers that are divisible by exactly 10 primes with multiplicity. A46314

Concentric hexagonal numbers: floor(3·n²/2). A32528