Humanity's current K-value from static energy data. Adjust the growth rate and see when we reach K1 (planetary), K2 (stellar), and K3 (galactic). Speculative framework — extrapolation labelled.
IEA World Energy Outlook 2024: ~580 EJ/yr (2023 data)
580 EJ/yr = 1.84 × 10¹³ W average power
Sagan (1973) modified Kardashev's original three-point scale to a continuous one: K = (log₁₀(P) − 6) / 10 where P is power in watts. This gives K=1 at 10¹⁶ W, K=2 at 10²⁶ W, K=3 at 10³⁶ W. Some sources use slightly different anchors; this tool uses Sagan's formulation.
K1: P_K1 = 1 × 10¹⁶ W. K2: P_K2 = 4 × 10²⁶ W. K3: P_K3 = 4 × 10³⁷ W. These anchors are definitional, not fixed by the original paper, and match the other Kardashev tools on this site. For reference, sunlight intercepted by Earth is about 1.74 × 10¹⁷ W (K ≈ 1.12 on the formula) and the solar luminosity is about 3.86 × 10²⁶ W (K ≈ 2.06).
Compound annual growth: P(t) = P₀ × (1 + r)ᵗ. Year to reach milestone solved by inverting: t = log(P_milestone/P₀) / log(1+r). Base year: 2025.
IEA World Energy Outlook 2024 — Total Primary Energy Supply 2023: ~580 EJ/yr. 1 EJ = 10¹⁸ J; 580 EJ/yr ÷ 3.156 × 10⁷ s/yr ≈ 1.84 × 10¹³ W.