4 to the Power of 7 — 4⁷ = 16,384

4 to the power of 7 (4⁷) equals 16,384. This means 4 x 4 x 4 x 4 x 4 x 4 x 4 = 16,384. Result has 5 digits, prime factorisation 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2....

4 = ?

4 TO THE POWER OF 7

16,384

4 = 4 × 4 × 4 × 4 × 4 × 4 × 4 = 16,384

Value

16,384

Base

4

Exponent

7

Number of digits

5

Digit sum

22

Even or odd?

Even

Divisible by 10?

No

Perfect square?

Yes ✓

STEP-BY-STEP

1

4 means multiply 4 by itself 7 times

2

4

4 × 4 = 16

16 × 4 = 64

64 × 4 = 256

256 × 4 = 1,024

1,024 × 4 = 4,096

4,096 × 4 = 16,384

3

4 = 16,384

PRIME FACTORISATION

16,384 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 4 (all factors are 4)

FUN FACT

16384 equals 2 to the 14 and 128 squared.

POWERS OF 4 (1 → 7)

4¹
4
4²
16
4³
64
4
256
4
1,024
4
4,096
4
16,384

ALL POWERS OF 4 (1–10)

EXPONENT LAWS

4⁷ × 4= 4⁸ = 65,536
4⁷ × 4⁷= 4¹⁴ = 268,435,456
4⁷ ÷ 4= 4⁶ = 4,096
√(4⁷)= 4⁴ = 128 (exact)
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HOW TO CALCULATE

  1. 1

    4⁷ means multiply 4 by itself 7 times.

  2. 2

    Multiplication chain: 4 x 4 x 4 x 4 x 4 x 4 x 4 = 16,384.

  3. 3

    The result is 16,384 - 5 digits, prime factorisation: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.

  4. 4

    Check: 4⁶ x 4 = 4,096 x 4 = 16,384.

WORKED EXAMPLE

4⁷ = 4 x 4 x 4 x 4 x 4 x 4 x 4 = 16,384. Digits: 5. Prime factors: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.

FREQUENTLY ASKED QUESTIONS

OTHER BASES TO THE POWER OF 7

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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.