Which of the below is Armstrong number
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100
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111
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333
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407
Reveal answer
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Correct answer
Explanation
An Armstrong (narcissistic) number equals the sum of its own digits each raised to the power of the number of digits. For 407: 4^3 + 0^3 + 7^3 = 64 + 0 + 343 = 407. For 100: 1^3 + 0^3 + 0^3 = 1. For 111: 1^3 + 1^3 + 1^3 = 3. For 333: 3^3 + 3^3 + 3^3 = 81. Only 407 satisfies the condition.
AI explanation
An Armstrong (narcissistic) number equals the sum of its own digits each raised to the power of the digit count. For the 3-digit number 407: 4³ + 0³ + 7³ = 64 + 0 + 343 = 407, so it reproduces itself. None of 100, 111, or 333 satisfy that identity.